OOIR: Observatory of International Research

Papers

(The TQCC of Fractional Calculus and Applied Analysis is 6. 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 2021-09-01 to 2025-09-01.)

Article	Citations
Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane	42
Bounds for mixing times for finite semi-Markov processes with heavy-tail jump distribution	39
Blow-up for a non-linear stable non-Gaussian process in fractional time	31
Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices	29
On generalized K-functionals in $$L_p$$ for $$0<p<1$$	28
Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations	28
Differential transforms related to Caputo time-fractional derivatives and semigroups generated by fractional Schrödinger operators	26
Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems	25
Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions	24
Fractional differential equations of Bagley-Torvik and Langevin type	24
Stochastic heat equation driven by space-only fractional Lévy noise	23
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	22
The Spatially Variant Fractional Laplacian	19
On heat equations associated with fractional harmonic oscillators	19
A review of constitutive models for non-Newtonian fluids	19
Stability analysis of Hilfer fractional stochastic switched dynamical systems with non-Gaussian process and impulsive effects	19
Considerations regarding the accuracy of fractional numerical computations	19
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	19
Multi-parametric Le Roy function revisited	18
Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups	16
Multi-term fractional oscillation integro-differential equations	16
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters	16
Dual Spaces of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications	16
Delsarte equation for Caputo operator of fractional calculus	16
Representations of solutions of systems of time-fractional pseudo-differential equations	15

Asymptotic analysis of three-parameter Mittag-Leffler function with large parameters, and application to sub-diffusion equation involving Bessel operator	14
On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions	14
Mixed slow-fast stochastic differential equations: Averaging principle result	14
Abstract multi-term fractional difference equations	14
Towards a Unified theory of Fractional and Nonlocal Vector Calculus	13
Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation	13
A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems	13
Radial symmetry and Hopf lemma for fully nonlinear parabolic equations involving the fractional Laplacian	13
Infinitely many sign-changing solutions for a kind of fractional Klein-Gordon-Maxwell system	12
The fractional stochastic heat equation driven by time-space white noise	12
Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth	12
Decay estimates and extinction properties for some parabolic equations with fractional time derivatives	12
The well-posedness analysis in Besov-type spaces for multi-term time-fractional wave equations	12
A high order predictor-corrector method with non-uniform meshes for fractional differential equations	11
Fractional boundary value problems and elastic sticky brownian motions	11
Fractional Wiener chaos: Part 1	11
Radial symmetry and Liouville theorem for master equations	11
Controllability of Hilfer fractional backward evolution systems	10
Fractional models for analysis of economic risks	10
Initial-boundary value problems for coupled systems of time-fractional diffusion equations	10
Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes	10
A unified analysis framework for generalized fractional Moore–Gibson–Thompson equations: Well-posedness and singular limits	10
Limitations and applications in a fractional Barbalat’s Lemma	10
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation	9
Superlinear solutions of sublinear fractional differential equations and regular variation	9
Boundedness of fractional integrals on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes	9
Controllability and observability of linear time-varying fractional systems	9
On the convergence of the Galerkin method for random fractional differential equations	9
A critical elliptic problem involving exponential and singular nonlinearities	9
Riemann-Liouville derivatives of abstract functions and Sobolev spaces	9
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order	9
On the Decomposition of Solutions: From Fractional Diffusion to Fractional Laplacian	9
On the multivariate generalized counting process and its time-changed variants	9
Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces	9
Integral operators defined “up to a polynomial”	9
Analysis and Fast Approximation of a Steady-State Spatially-Dependent Distributed-order Space-Fractional Diffusion Equation	8
Summability of Formal Solutions for a Family of Generalized Moment Integro-Differential Equations	8
From time to times	8
Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior	8
Approximate solutions for fractional stochastic integro-differential equation with short memory driven by non-instantaneous impulses	8
On the existence and uniqueness of the solution to multifractional stochastic delay differential equation	8
Log-concavity and log-convexity of series containing multiple Pochhammer symbols	8
Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions	8
Fractional-order problem coupled with a second-order Moreau’s sweeping process	8
A Strong Maximum Principle for the Fractional Laplace Equation with Mixed Boundary Condition	8
Explicit Representation of Discrete Fractional Resolvent Families in Banach Spaces	8
Correction: Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise	8
Fractional Musielak-Sobolev spaces: study of generalized double phase problem with Choquard-logarithmic nonlinearity	8
Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives	8
Vallée-Poussin theorem for fractional functional differential equations	8

Study on the diffusion fractional m-Laplacian with singular potential term	7
Sequential generalized Riemann–Liouville derivatives based on distributional convolution	7
Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term	7
Numerical scheme for Erdélyi–Kober fractional diffusion equation using Galerkin–Hermite method	7
Anisotropic variable Campanato-type spaces and their Carleson measure characterizations	7
Stability and stabilization of short memory fractional differential equations with delayed impulses	7
A semilinear diffusion PDE with variable order time-fractional Caputo derivative subject to homogeneous Dirichlet boundary conditions	7
The sliding method for fractional Laplacian systems	7
B-Spline Collocation Discretizations of Caputo and Riemann-Liouville Derivatives: A Matrix Comparison	7
Continuous-time MISO fractional system identification using higher-order-statistics	7
Convergence Rate Estimates for the Kernelized Predictor Corrector Method for Fractional Order Initial Value Problems	7
Some nonexistence results for space–time fractional Schrödinger equations without gauge invariance	7
Convolution series and the generalized convolution Taylor formula	7
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	7
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods	7
Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities	7
Operational matrix based numerical scheme for the solution of time fractional diffusion equations	6
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids	6
The nonlinear fractional Rayleigh-Stokes problem on an infinite interval	6
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation	6
A second-order fitted scheme for time fractional telegraph equations involving weak singularity	6
Non-stationary zipper $$\alpha $$-fractal functions and associated fractal operator	6
Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for fractional stochastic evolution equation with delay	6
On the three dimensional generalized Navier-Stokes equations with damping	6
Monte Carlo method for fractional-order differentiation	6
S-asymptotically $$\omega $$-periodic solutions for time-space fractional nonlocal reaction-diffusion equation with superlinear growth nonlinear terms	6
Fractional boundary value problems	6
An inverse problem of determining the fractional order in the TFDE using the measurement at one space-time point	6
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators	6
On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions	6
Unification of popular artificial neural network activation functions	6
Game-theoretical problems for fractional-order nonstationary systems	6
Infinitely many large solutions to a variable order nonlocal singular equation	6
Special solutions to the space fractional diffusion problem	6
An efficient numerical method to the stochastic fractional heat equation with random coefficients and fractionally integrated multiplicative noise	6
A tempered subdiffusive Black–Scholes model	6
Monotonicity and uniqueness of positive solutions to elliptic fractional p-equations	6
A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems	6
Hölder regularity for the nonlinear stochastic time-fractional slow & fast diffusion equations on $${\mathbb {R}}^d$$	6
Appell system associated with the infinite dimensional Fractional Pascal measure	6
Existence, nonexistence and multiplicity of bounded solutions to a nonlinear BVP associated to the fractional Laplacian	6