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 2021-05-01 to 2025-05-01.)

Article	Citations
Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane	37
Considerations regarding the accuracy of fractional numerical computations	34
Bounds for mixing times for finite semi-Markov processes with heavy-tail jump distribution	31
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	29
The Spatially Variant Fractional Laplacian	27
Fractional differential equations of Bagley-Torvik and Langevin type	26
Blow-up for a non-linear stable non-Gaussian process in fractional time	26
Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices	26
On generalized K-functionals in $$L_p$$ for $$0<p<1$$	23
Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations	23
Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions	22
Differential transforms related to Caputo time-fractional derivatives and semigroups generated by fractional Schrödinger operators	21
Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems	20
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	19
Stochastic heat equation driven by space-only fractional Lévy noise	19
On heat equations associated with fractional harmonic oscillators	18
Multi-term fractional oscillation integro-differential equations	17
A review of constitutive models for non-Newtonian fluids	17
Multi-parametric Le Roy function revisited	17
Asymptotic analysis of three-parameter Mittag-Leffler function with large parameters, and application to sub-diffusion equation involving Bessel operator	15
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters	14
On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions	13
Dual Spaces of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications	13
Mixed slow-fast stochastic differential equations: Averaging principle result	13
A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems	13

Abstract multi-term fractional difference equations	13
Delsarte equation for Caputo operator of fractional calculus	13
Representations of solutions of systems of time-fractional pseudo-differential equations	13
Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups	13
Initial-boundary value problems for coupled systems of time-fractional diffusion equations	12
Towards a Unified theory of Fractional and Nonlocal Vector Calculus	12
Limitations and applications in a fractional Barbalat’s Lemma	12
Radial symmetry and Hopf lemma for fully nonlinear parabolic equations involving the fractional Laplacian	12
On the convergence of the Galerkin method for random fractional differential equations	11
Decay estimates and extinction properties for some parabolic equations with fractional time derivatives	11
A unified analysis framework for generalized fractional Moore–Gibson–Thompson equations: Well-posedness and singular limits	11
Fractional models for analysis of economic risks	11
The fractional stochastic heat equation driven by time-space white noise	11
Fractional boundary value problems and elastic sticky brownian motions	11
Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes	10
Infinitely many sign-changing solutions for a kind of fractional Klein-Gordon-Maxwell system	10
Fractional Wiener chaos: Part 1	10
The well-posedness analysis in Besov-type spaces for multi-term time-fractional wave equations	10
Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth	9
Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation	9
A high order predictor-corrector method with non-uniform meshes for fractional differential equations	9
Local Existence and Non-Existence for a Fractional Reaction-Diffusion Equation in Lebesgue Spaces	9
Radial symmetry and Liouville theorem for master equations	9
On the Decomposition of Solutions: From Fractional Diffusion to Fractional Laplacian	8
Riemann-Liouville derivatives of abstract functions and Sobolev spaces	8
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation	8
From time to times	8
Correction: Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise	8
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order	8
Boundedness of fractional integrals on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes	8
Controllability and observability of linear time-varying fractional systems	8
Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions	8
A critical elliptic problem involving exponential and singular nonlinearities	8
Superlinear solutions of sublinear fractional differential equations and regular variation	8
Properties of the Set of Admissible “State Control” Pair for a Class of Fractional Semilinear Evolution Control Systems	8
Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces	8
Integral operators defined “up to a polynomial”	8
Log-concavity and log-convexity of series containing multiple Pochhammer symbols	8
Stability and stabilization of short memory fractional differential equations with delayed impulses	7
On the existence and uniqueness of the solution to multifractional stochastic delay differential equation	7
Convolution series and the generalized convolution Taylor formula	7
Filter Regularization Method for a Nonlinear Riesz-Feller Space-Fractional Backward Diffusion Problem with Temporally Dependent Thermal Conductivity	7
Fractional Musielak-Sobolev spaces: study of generalized double phase problem with Choquard-logarithmic nonlinearity	7
Analysis and Fast Approximation of a Steady-State Spatially-Dependent Distributed-order Space-Fractional Diffusion Equation	7
Vallée-Poussin theorem for fractional functional differential equations	7
A Strong Maximum Principle for the Fractional Laplace Equation with Mixed Boundary Condition	7
Fractional-order problem coupled with a second-order Moreau’s sweeping process	7
Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior	7
Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives	7
Explicit Representation of Discrete Fractional Resolvent Families in Banach Spaces	7

Summability of Formal Solutions for a Family of Generalized Moment Integro-Differential Equations	7
The sliding method for fractional Laplacian systems	6
Sequential generalized Riemann–Liouville derivatives based on distributional convolution	6
Numerical scheme for Erdélyi–Kober fractional diffusion equation using Galerkin–Hermite method	6
B-Spline Collocation Discretizations of Caputo and Riemann-Liouville Derivatives: A Matrix Comparison	6
An efficient numerical method to the stochastic fractional heat equation with random coefficients and fractionally integrated multiplicative noise	6
Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term	6
Convergence Rate Estimates for the Kernelized Predictor Corrector Method for Fractional Order Initial Value Problems	6
A semilinear diffusion PDE with variable order time-fractional Caputo derivative subject to homogeneous Dirichlet boundary conditions	6
Some nonexistence results for space–time fractional Schrödinger equations without gauge invariance	6
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods	6
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators	6
Robust Fractional-Order Perfect Control for Non-Full Rank Plants Described in the Grünwald-Letnikov IMC Framework	6
Study on the diffusion fractional m-Laplacian with singular potential term	6
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	6
Anisotropic variable Campanato-type spaces and their Carleson measure characterizations	6
Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities	6
Approximate calculation of the Caputo-type fractional derivative from inaccurate data. Dynamical approach	5
Operational matrix based numerical scheme for the solution of time fractional diffusion equations	5
Sharp asymptotics in a fractional Sturm-Liouville problem	5
A tempered subdiffusive Black–Scholes model	5
Appell system associated with the infinite dimensional Fractional Pascal measure	5
Special solutions to the space fractional diffusion problem	5
Unification of popular artificial neural network activation functions	5
Monte Carlo method for fractional-order differentiation	5
Continuous-time MISO fractional system identification using higher-order-statistics	5
S-asymptotically $$\omega $$-periodic solutions for time-space fractional nonlocal reaction-diffusion equation with superlinear growth nonlinear terms	5
Monotonicity and uniqueness of positive solutions to elliptic fractional p-equations	5
An inverse problem of determining the fractional order in the TFDE using the measurement at one space-time point	5
Game-theoretical problems for fractional-order nonstationary systems	5
Multi-term fractional integro-differential equations in power growth function spaces	5
Hopf’s lemma and radial symmetry for the Logarithmic Laplacian problem	5
A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems	5
A second-order fitted scheme for time fractional telegraph equations involving weak singularity	5
The nonlinear fractional Rayleigh-Stokes problem on an infinite interval	5
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids	5
Fractional boundary value problems	5
Infinitely many large solutions to a variable order nonlocal singular equation	5
Non-stationary zipper $$\alpha $$-fractal functions and associated fractal operator	5
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation	5
Pricing European option under the generalized fractional jump-diffusion model	4
An efficient localized collocation solver for anomalous diffusion on surfaces	4
Attractors of Caputo fractional differential equations with triangular vector fields	4
On the existence of solutions for a class of nonlinear fractional Schrödinger-Poisson system: Subcritical and critical cases	4
Short time coupled fractional fourier transform and the uncertainty principle	4
Sticky Brownian motions on star graphs	4
Hölder regularity for the nonlinear stochastic time-fractional slow & fast diffusion equations on $${\mathbb {R}}^d$$	4
Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative	4
A time-space fractional parabolic type problem: weak, strong and classical solutions	4
A mutually exciting rough jump-diffusion for financial modelling	4
Existence and multiplicity of positive solutions for a critical fractional Laplacian equation with singular nonlinearity	4
Abstract fractional inverse source problem of order $$0<\alpha <1$$ in a Banach space	4
Strong stationarity for non-smooth control problems with fractional semi-linear elliptic equations in dimension $$N\le 3$$	4
Discrete-time general fractional calculus	4
On the Green Function of the Killed Fractional Laplacian on the Periodic Domain	4
Mixed fractional stochastic heat equation with additive fractional-colored noise	4
The Rate of Convergence on Fractional Power Dissipative Operator on Compact Manifolds	4
Identifying source term and initial value simultaneously for the time-fractional diffusion equation with Caputo-like hyper-Bessel operator	4
Subordination and memory dependent kinetics in diffusion and relaxation phenomena	4
Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for fractional stochastic evolution equation with delay	4
The fractional variation and the precise representative of $$BV^{\alpha ,p}$$ functions	4
Collage theorems, invertibility and fractal functions	4
Global stability of fractional different orders nonlinear feedback systems with positive linear parts and interval state matrices	4
A bifurcation result for a Keller-Segel-type problem	4
Existence, multiplicity and asymptotic behaviour of normalized solutions to non-autonomous fractional HLS lower critical Choquard equation	4
The Cauchy problem and distribution of local fluctuations of one Riesz gravitational field	4
Global optimization of a nonlinear system of differential equations involving $$\psi $$-Hilfer fractional derivatives of complex order	4
Cauchy problem for non-autonomous fractional evolution equations	4
On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions	4
Pullback dynamics of 2D non-autonomous Reissner-Mindlin-Timoshenko plate systems	4
Variational Methods to the p-Laplacian type Nonlinear Fractional Order Impulsive Differential Equations with Sturm-Liouville Boundary-Value Problem	4
The existence and averaging principle for Caputo fractional stochastic delay differential systems	4
Multiplicity of couple solution for a fractional $$(\varphi , \psi )$$-like system	4
Spectral analysis of a family of nonsymmetric fractional elliptic operators	4