Fractional Calculus and Applied Analysis

Article	Citations
Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term	89
Bounds for mixing times for finite semi-Markov processes with heavy-tail jump distribution	34
Mixed stochastic heat equation with fractional Laplacian and gradient perturbation	31
Two-dimensional fractional shearlet transforms in $$L^2({\mathbb {R}}^2)$$	30
Nonnegative solutions of a coupled k-Hessian system involving different fractional Laplacians	30
Efficient spectral collocation method for fractional differential equation with Caputo-Hadamard derivative	26
A Meyer-Itô formula for stable processes via fractional calculus	23
On generalized K-functionals in $$L_p$$ for $$0<p<1$$	23
Considerations regarding the accuracy of fractional numerical computations	22
Blow-up for a non-linear stable non-Gaussian process in fractional time	22
Multivariable Fractional-Order PID Tuning by Iterative Non-Smooth Static-Dynamic H∞ Synthesis	22
Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations	21
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	19
A review of constitutive models for non-Newtonian fluids	19
Spectral analysis of multifractional LRD functional time series	17
A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling	17
Hölder regularity for non-autonomous fractional evolution equations	16
On heat equations associated with fractional harmonic oscillators	15
Some nonexistence results for space–time fractional Schrödinger equations without gauge invariance	15
Kinetic Solutions for Nonlocal Stochastic Conservation Laws	14
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	14
Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations	14
The Spatially Variant Fractional Laplacian	14
Spectral analysis of a family of nonsymmetric fractional elliptic operators	14
Properties of the multi-index special function $${\mathcal {W}}^{\left( \bar{\alpha },\bar{\nu }\right) }(z)$$	13

Fractional Diffusion-Wave Equations: Hidden Regularity for Weak Solutions	12
Sum of series and new relations for Mittag-Leffler functions	12
Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data	11
Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane	11
Convergence Rate Estimates for the Kernelized Predictor Corrector Method for Fractional Order Initial Value Problems	10
Global stability of fractional different orders nonlinear feedback systems with positive linear parts and interval state matrices	10
FCAA Related News, Events and Books (FCAA—volume 24–4–2021)	10
A variational theory for integral functionals involving finite-horizon fractional gradients	9
FCAA Related News, Events and Books (FCAA—volume 24–6–2021)	9
Inverse problem of determining the order of the fractional derivative in the Rayleigh-Stokes equation	9
Optimal regional control for a class of semilinear time-fractional diffusion systems with distributed feedback	9
Time optimal controls for Hilfer fractional evolution equations	9
A non-local semilinear eigenvalue problem	8
Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities	8
Transformations of the matrices of the fractional linear systems to their canonical stable forms	8
The Bouncing Ball and the Grünwald-Letnikov Definition of Fractional Derivative	8
Relative controllability of linear state-delay fractional systems	8
Sensitivity analysis for a fractional stochastic differential equation with $$S^{p}$$-weighted pseudo almost periodic coefficients and infinite delay	8
On differentiability of solutions of fractional differential equations with respect to initial data	8
A Boundary Value Problem for a Partial Differential Equation with Fractional Derivative	8
Existence and regularity of mild solutions to backward problem for nonlinear fractional super-diffusion equations in Banach spaces	8
Sequential generalized Riemann–Liouville derivatives based on distributional convolution	7
Existence and multiplicity of positive solutions for a critical fractional Laplacian equation with singular nonlinearity	7
The sliding method for fractional Laplacian systems	7
A class of Hilfer fractional differential evolution hemivariational inequalities with history-dependent operators	7
Decay solutions to abstract impulsive fractional mobile–immobile equations involving superlinear nonlinearities	7
Numerical scheme for Erdélyi–Kober fractional diffusion equation using Galerkin–Hermite method	7
Optimal F-domain stabilization technique for reduction of commensurate fractional-order SISO systems	7
Asymptotics of the s-fractional Gaussian perimeter as $$s\rightarrow 0^+$$	7
Sliding methods for the higher order fractional laplacians	7
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	6
Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems	6
Application of subordination principle to coefficient inverse problem for multi-term time-fractional wave equation	6
Abstract fractional inverse source problem of order $$0<\alpha <1$$ in a Banach space	6
Operational Calculus for the General Fractional Derivative and Its Applications	6
Difference Between Riesz Derivative and Fractional Laplacian on the Proper Subset of ℝ	6
Construction and analysis of series solutions for fractional quasi-Bessel equations	6
Fractional calculus for distributions	6
Subordination principle and approximation of fractional resolvents and applications to fractional evolution equations	6
Fractional differential equations of Bagley-Torvik and Langevin type	6
Monte Carlo method for fractional-order differentiation extended to higher orders	6
A bifurcation result for a Keller-Segel-type problem	6
Robust Fractional-Order Perfect Control for Non-Full Rank Plants Described in the Grünwald-Letnikov IMC Framework	6
Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices	6
Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions	6
Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation $$\partial _t^\beta u = - {\left( { - \Delta } \right)^{\alpha /2}}u - {\left( { - \Delta } \right)^	6
Publisher Correction: Subordination results for a class of multi-term fractional Jeffreys-type equations	6
Hardy–Hénon fractional equation with nonlinearities involving exponential critical growth	5
Numerical conservation laws of time fractional diffusion PDEs	5
Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems	5

On the Generalized Fractional Laplacian	5
On the computation of the Mittag-Leffler function of fractional powers of accretive operators	5
Continuity of solutions for tempered fractional general diffusion equations driven by TFBM	5
Space-time fractional parabolic equations on a metric star graph with spatial fractional derivative of Sturm-Liouville type: analysis and discretization	5
Anniversary of Prof. S.G. Samko, FC Events (FCAA–Volume 24–2–2021)	5
Strichartz’s Radon transforms for mutually orthogonal affine planes and fractional integrals	5
Discrete Fractional Boundary Value Problems and Inequalities	5
Author Correction: On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications	5
On boundary value problem of the nonlinear fractional partial integro-differential equation via inverse operators	5
A semilinear diffusion PDE with variable order time-fractional Caputo derivative subject to homogeneous Dirichlet boundary conditions	5
Study on the diffusion fractional m-Laplacian with singular potential term	5
B-Spline Collocation Discretizations of Caputo and Riemann-Liouville Derivatives: A Matrix Comparison	5
Local and global conserved quantities involving generalized operators	5
Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise	5
Anisotropic variable Campanato-type spaces and their Carleson measure characterizations	4
Wind turbulence modeling for real-time simulation	4
Classical versus fractional difference equations: the logistic case	4
Monotonicity and uniqueness of positive solutions to elliptic fractional p-equations	4
Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations	4
Towards a Unified theory of Fractional and Nonlocal Vector Calculus	4
Caputo delta weakly fractional difference equations	4
An ADMM approach to a TV model for identifying two coefficients in the time-fractional diffusion system	4
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators	4
Monotone iterative technique for multi-term time fractional measure differential equations	4
Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems	4
Approximate controllability results for the Sobolev type fractional delay impulsive integrodifferential inclusions of order $${r} \in (1,2)$$ via sectorial operator	4
Averaging Theory for Fractional Differential Equations	4
Global attractivity for fractional differential equations of Riemann-Liouville type	4
Sharp asymptotics in a fractional Sturm-Liouville problem	4
Estimates for $$p$$-adic fractional integral operators and their commutators on $$p$$-adic mixed central Morrey spaces and generalized mixed Morrey spaces	4
System of fractional boundary value problems at resonance	4
Asymptotic analysis of three-parameter Mittag-Leffler function with large parameters, and application to sub-diffusion equation involving Bessel operator	4
Stochastic solutions of generalized time-fractional evolution equations	4
Asymptotics of the Mittag-Leffler function $$E_a(z)$$ on the negative real axis when $$a \rightarrow 1$$	4
A time-fractional superdiffusion wave-like equation with subdiffusion possibly damping term: well-posedness and Mittag-Leffler stability	4
Delsarte equation for Caputo operator of fractional calculus	4
General one-dimensional model of the time-fractional diffusion-wave equation in various geometries	4
Multi-term fractional oscillation integro-differential equations	4
Frontmatter	4
Orlicz-Lorentz-Karamata Hardy martingale spaces: inequalities and fractional integral operators	4
A tempered subdiffusive Black–Scholes model	4
Some aspects of the contribution of Mkhitar Djrbashian to fractional calculus	4
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters	4
Nehari manifold approach for fractional Kirchhoff problems with extremal value of the parameter	4
Principal curves to fractional m-Laplacian systems and related maximum and comparison principles	4
Multi-parametric Le Roy function revisited	4
A necessary and sufficient conditions for the global existence of solutions to fractional reaction-diffusion equations on $$\mathbb {R}^{N}$$	3
Overview of fractional calculus and its computer implementation in Wolfram Mathematica	3
Rich phenomenology of the solutions in a fractional Duffing equation	3
Fractional Fokker-Planck-Kolmogorov equations with Hölder continuous drift	3
Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups	3
Operational Calculus for the Riemann–Liouville Fractional Derivative with Respect to a Function and its Applications	3
A collection of correct fractional calculus for discontinuous functions	3
Publisher Correction: Optimal approximation of analog PID controllers of complex fractional-order	3
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids	3
On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions	3
Existence and approximate controllability of Hilfer fractional impulsive evolution equations	3
An efficient numerical method to the stochastic fractional heat equation with random coefficients and fractionally integrated multiplicative noise	3
Regularization of an inverse source problem for fractional diffusion-wave equations under a general noise assumption	3
Fractional differential equation on the whole axis involving Liouville derivative	3
Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation	3
ContribUtions on Artificial Potential Field Method for Effective Obstacle Avoidance	3
Dual Spaces of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications	3
First order Plus Fractional Diffusive Delay Modeling: Interconnected Discrete Systems	3
Mixed slow-fast stochastic differential equations: Averaging principle result	3
Optimal feedback control for a class of fractional evolution equations with history-dependent operators	3
Searching for Sonin kernels	3
A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems	3
Three Representations of the Fractional p-Laplacian: Semigroup, Extension and Balakrishnan Formulas	3
Representations of solutions of systems of time-fractional pseudo-differential equations	3
Averaging principle for stochastic Caputo fractional differential equations with non-Lipschitz condition	3
Entropy and alternative entropy functionals of fractional Gaussian noise as the functions of Hurst index	3
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods	3
Time-fractional discrete diffusion equation for Schrödinger operator	3
Radial symmetry and Hopf lemma for fully nonlinear parabolic equations involving the fractional Laplacian	3
Special solutions to the space fractional diffusion problem	3
On the fractional Laplacian of variable order	3
Unified predictor–corrector method for fractional differential equations with general kernel functions	3
Inverse Problems for Diffusion Equation with Fractional Dzherbashian-Nersesian Operator	3
Continuous-time MISO fractional system identification using higher-order-statistics	3

Fractional boundary value problems	3
An inverse problem of determining the fractional order in the TFDE using the measurement at one space-time point	2
Infinitely many sign-changing solutions for a kind of fractional Klein-Gordon-Maxwell system	2
Initial-boundary value problems for multi-term time-fractional wave equations	2
High order approximations of solutions to initial value problems for linear fractional integro-differential equations	2
A unified analysis framework for generalized fractional Moore–Gibson–Thompson equations: Well-posedness and singular limits	2
Fractional models for analysis of economic risks	2
On the variable order fractional calculus of fractal interpolation functions	2
Pointwise characterizations of variable Besov and Triebel-Lizorkin spaces via Hajłasz gradients	2
Existence of an infinite system of fractional hybrid differential equations in a tempered sequence space	2
Self-Similar Cauchy Problems and Generalized Mittag-Leffler Functions	2
Multiple positive solutions for higher-order fractional integral boundary value problems with singularity on space variable	2
Identification of System with Distributed-Order Derivatives	2
Approximate optimal control of fractional stochastic hemivariational inequalities of order (1, 2] driven by Rosenblatt process	2
Pricing Vulnerable Options in Fractional Brownian Markets: a Partial Differential Equations Approach	2
Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth	2
Reconstruction of pointwise sources in a time-fractional diffusion equation	2
Discrete convolution operators and equations	2
On mild solutions of the generalized nonlinear fractional pseudo-parabolic equation with a nonlocal condition	2
Lump solutions of the fractional Kadomtsev–Petviashvili equation	2
Dynamical repulsive fractional potential fields in 3D environment	2
Time-dependent identification problem for a fractional Telegraph equation with the Caputo derivative	2
A new approach to multi-delay matrix valued fractional linear differential equations with constant coefficients	2
Fractional Langevin Type Equations for White Noise Distributions	2
Existence of positive solutions for fractional delayed evolution equations of order $$\gamma \in (1,2)$$ via measure of non-compactness	2
Game-theoretical problems for fractional-order nonstationary systems	2
The similarity method and explicit solutions for the fractional space one-phase Stefan problems	2
Continuous Dependence of Fuzzy Mild Solutions on Parameters for IVP of Fractional Fuzzy Evolution Equations	2
The fractional stochastic heat equation driven by time-space white noise	2
Small order limit of fractional Dirichlet sublinear-type problems	2
Existence for a class of time-fractional evolutionary equations with applications involving weakly continuous operator	2
A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems	2
AsymptotIc Behavior of Solutions of Fractional Differential Equations with Hadamard Fractional Derivatives	2
Representations of abstract resolvent families on time scales via Laplace Transform	2
On some even-sequential fractional boundary-value problems	2
Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes	2
The Lambert function method in qualitative analysis of fractional delay differential equations	2
Asymptotic cycles in fractional maps of arbitrary positive orders	2
Operational matrix based numerical scheme for the solution of time fractional diffusion equations	2
On the convergence of the Galerkin method for random fractional differential equations	2
Limitations and applications in a fractional Barbalat’s Lemma	2
Global existence for three-dimensional time-fractional Boussinesq-Coriolis equations	2
Infinitely many large solutions to a variable order nonlocal singular equation	2
Decay estimates and extinction properties for some parabolic equations with fractional time derivatives	2
Asymptotic behavior for a porous-elastic system with fractional derivative-type internal dissipation	2
Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain	2
Finite-approximate controllability of impulsive $$\psi -$$Caputo fractional evolution equations with nonlocal conditions	2
In memory of the honorary founding editors behind the FCAA success story	2
Frontmatter	2
Queuing models with Mittag-Leffler inter-event times	2
Variable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal	1
Two families of second-order fractional numerical formulas and applications to fractional differential equations	1
Final value problem for Rayleigh-Stokes type equations involving weak-valued nonlinearities	1
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order	1
Characterizations of Variable Martingale Hardy Spaces Via Maximal Functions	1
Some boundedness results for Riemann-Liouville tempered fractional integrals	1
On the kinetics of $$\psi $$-fractional differential equations	1
A spectral approach to non-linear weakly singular fractional integro-differential equations	1
Non-stationary zipper $$\alpha $$-fractal functions and associated fractal operator	1
An elementary inequality for dissipative Caputo fractional differential equations	1
Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for fractional stochastic evolution equation with delay	1
Comparison principles for the time-fractional diffusion equations with the Robin boundary conditions. Part I: Linear equations	1
Impulse response of commensurate fractional-order systems: multiple complex poles	1
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation	1
The existence and averaging principle for Caputo fractional stochastic delay differential systems	1
Multi-term fractional integro-differential equations in power growth function spaces	1
Local Existence and Non-Existence for a Fractional Reaction-Diffusion Equation in Lebesgue Spaces	1
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation	1
Properties of the Set of Admissible “State Control” Pair for a Class of Fractional Semilinear Evolution Control Systems	1
Variational Methods to the p-Laplacian type Nonlinear Fractional Order Impulsive Differential Equations with Sturm-Liouville Boundary-Value Problem	1
On the lifting property for the lipschitz spaces $$\varLambda _{\alpha }$$ with $$\alpha >0$$	1
Riemann-Liouville derivatives of abstract functions and Sobolev spaces	1
(N + α)-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating butterworth response	1
Elastic metamaterials with fractional-order resonators	1
On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions	1
The well-posedness analysis in Besov-type spaces for multi-term time-fractional wave equations	1
A critical elliptic problem involving exponential and singular nonlinearities	1
On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications	1
Frontmatter	1
Skellam and time-changed variants of the generalized fractional counting process	1
Approximate calculation of the Caputo-type fractional derivative from inaccurate data. Dynamical approach	1
Radial symmetry and Liouville theorem for master equations	1
RETRACTED ARTICLE: Averaging principle for stochastic Caputo fractional differential equations with non-Lipschitz condition	1
New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents	1
Hölder regularity for the nonlinear stochastic time-fractional slow & fast diffusion equations on $${\mathbb {R}}^d$$	1
Some Properties of the Fractal Convolution of Functions	1
Least energy sign-changing solutions for fractional critical Kirchhoff–Schrödinger–Poisson with steep potential well	1
Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces	1
Generalized Krätzel functions: an analytic study	1
Solvability of an infinite system of Langevin fractional differential equations in a new tempered sequence space	1
The overdamped generalized Langevin equation with Hermite noise	1
Localized special John–Nirenberg–Campanato spaces via congruent cubes with applications to boundedness of local Calderón–Zygmund singular integrals and fractional integrals	1
Homogenization and inverse problems for fractional diffusion equations	1
Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket	1
Superlinear solutions of sublinear fractional differential equations and regular variation	1