OOIR: Observatory of International Research

Papers

(The TQCC of Fractional Calculus and Applied Analysis is 4. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-02-01 to 2025-02-01.)

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
Nonnegative solutions of a coupled k-Hessian system involving different fractional Laplacians	30
Two-dimensional fractional shearlet transforms in $$L^2({\mathbb {R}}^2)$$	30
Efficient spectral collocation method for fractional differential equation with Caputo-Hadamard derivative	26
On generalized K-functionals in $$L_p$$ for $$0<p<1$$	23
A Meyer-Itô formula for stable processes via fractional calculus	23
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
Considerations regarding the accuracy of fractional numerical computations	22
Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations	21
A review of constitutive models for non-Newtonian fluids	19
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	19
A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling	17
Spectral analysis of multifractional LRD functional time series	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
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
Kinetic Solutions for Nonlocal Stochastic Conservation Laws	14
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	14
Properties of the multi-index special function $${\mathcal {W}}^{\left( \bar{\alpha },\bar{\nu }\right) }(z)$$	13

Sum of series and new relations for Mittag-Leffler functions	12
Fractional Diffusion-Wave Equations: Hidden Regularity for Weak Solutions	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
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
Convergence Rate Estimates for the Kernelized Predictor Corrector Method for Fractional Order Initial Value Problems	10
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 variational theory for integral functionals involving finite-horizon fractional gradients	9
FCAA Related News, Events and Books (FCAA—volume 24–6–2021)	9
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
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
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
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
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 $$\partial _t^\beta u = - {\left( { - \Delta } \right)^{\alpha /2}}u - {\left( { - \Delta } \right)^	6
Publisher Correction: Subordination results for a class of multi-term fractional Jeffreys-type equations	6
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	6
Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems	6
Application of subordination principle to coefficient inverse problem for multi-term time-fractional wave equation	6
Abstract fractional inverse source problem of order $$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
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
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
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 boundary value problem of the nonlinear fractional partial integro-differential equation via inverse operators	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
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
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