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 2021-11-01 to 2025-11-01.)

Article	Citations
Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane	43
Bounds for mixing times for finite semi-Markov processes with heavy-tail jump distribution	41
Blow-up for a non-linear stable non-Gaussian process in fractional time	33
Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices	32
On generalized K-functionals in $$L_p$$ for $$0<p<1$$	30
Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations	28
Stability analysis of Hilfer fractional stochastic switched dynamical systems with non-Gaussian process and impulsive effects	27
Considerations regarding the accuracy of fractional numerical computations	27
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	25
The Spatially Variant Fractional Laplacian	24
Differential transforms related to Caputo time-fractional derivatives and semigroups generated by fractional Schrödinger operators	24
Stochastic heat equation driven by space-only fractional Lévy noise	24
On heat equations associated with fractional harmonic oscillators	23
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	20
A review of constitutive models for non-Newtonian fluids	20
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	20
Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups	19
A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems	19
Fractional differential equations of Bagley-Torvik and Langevin type	19
Dual Spaces of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications	18
Delsarte equation for Caputo operator of fractional calculus	17
Mixed slow-fast stochastic differential equations: Averaging principle result	17
Abstract multi-term fractional difference equations	17
On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions	16

Multi-parametric Le Roy function revisited	16
Asymptotic analysis of three-parameter Mittag-Leffler function with large parameters, and application to sub-diffusion equation involving Bessel operator	16
Multi-term fractional oscillation integro-differential equations	16
Representations of solutions of systems of time-fractional pseudo-differential equations	15
Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth	14
Radial symmetry and Hopf lemma for fully nonlinear parabolic equations involving the fractional Laplacian	14
Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation	14
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters	14
Decay estimates and extinction properties for some parabolic equations with fractional time derivatives	13
Infinitely many sign-changing solutions for a kind of fractional Klein-Gordon-Maxwell system	13
On the convergence of the Galerkin method for random fractional differential equations	12
Controllability of Hilfer fractional backward evolution systems	12
The fractional stochastic heat equation driven by time-space white noise	12
Complete synchronization of discrete-time fractional-order neural networks with leakage and distributed delays	12
Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes	12
A unified analysis framework for generalized fractional Moore–Gibson–Thompson equations: Well-posedness and singular limits	11
Fractional boundary value problems and elastic sticky brownian motions	11
Fractional models for analysis of economic risks	11
Initial-boundary value problems for coupled systems of time-fractional diffusion equations	11
On the properties of the Le Roy function and of its generalized forms	11
The well-posedness analysis in Besov-type spaces for multi-term time-fractional wave equations	10
Limitations and applications in a fractional Barbalat’s Lemma	10
Boundedness of fractional integrals on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes	10
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation	10
Stability analysis for Caputo fractional-order discrete system with first-order operator	10
Fractional Wiener chaos: Part 1	10
On the multivariate generalized counting process and its time-changed variants	10
A critical elliptic problem involving exponential and singular nonlinearities	10
Radial symmetry and Liouville theorem for master equations	10
A high order predictor-corrector method with non-uniform meshes for fractional differential equations	10
Riemann-Liouville derivatives of abstract functions and Sobolev spaces	10
Superlinear solutions of sublinear fractional differential equations and regular variation	10
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order	9
From time to times	9
Integral operators defined “up to a polynomial”	9
Controllability and observability of linear time-varying fractional systems	9
Log-concavity and log-convexity of series containing multiple Pochhammer symbols	9
Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces	9
Berry-Esséen bounds for the statistical estimators of an Ornstein-Uhlenbeck process driven by a general Gaussian noise	9
Fractional-order problem coupled with a second-order Moreau’s sweeping process	9
Study on the diffusion fractional m-Laplacian with singular potential term	8
Correction: Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise	8
Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior	8
On the existence and uniqueness of the solution to multifractional stochastic delay differential equation	8
Convolution series and the generalized convolution Taylor formula	8
Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term	8
Stability and stabilization of short memory fractional differential equations with delayed impulses	8
Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions	8
Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives	8
A Strong Maximum Principle for the Fractional Laplace Equation with Mixed Boundary Condition	8

Sequential generalized Riemann–Liouville derivatives based on distributional convolution	8
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	8
Approximate solutions for fractional stochastic integro-differential equation with short memory driven by non-instantaneous impulses	8
Fractional Musielak-Sobolev spaces: study of generalized double phase problem with Choquard-logarithmic nonlinearity	8
Vallée-Poussin theorem for fractional functional differential equations	8
Explicit Representation of Discrete Fractional Resolvent Families in Banach Spaces	8
Some nonexistence results for space–time fractional Schrödinger equations without gauge invariance	8
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods	7
Convergence Rate Estimates for the Kernelized Predictor Corrector Method for Fractional Order Initial Value Problems	7
Anisotropic variable Campanato-type spaces and their Carleson measure characterizations	7
Monte Carlo method for fractional-order differentiation	7
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators	7
A tempered subdiffusive Black–Scholes model	7
The nonlinear fractional Rayleigh-Stokes problem on an infinite interval	7
The sliding method for fractional Laplacian systems	7
A semilinear diffusion PDE with variable order time-fractional Caputo derivative subject to homogeneous Dirichlet boundary conditions	7
Continuous-time MISO fractional system identification using higher-order-statistics	7
B-Spline Collocation Discretizations of Caputo and Riemann-Liouville Derivatives: A Matrix Comparison	7
Fractional boundary value problems	7
Numerical scheme for Erdélyi–Kober fractional diffusion equation using Galerkin–Hermite method	7
Infinitely many large solutions to a variable order nonlocal singular equation	7
Landweber iteration method for simultaneous inversion of the source term and initial value of the Rayleigh-Stokes equation	7
Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities	7
On a new class of segmental type periodic/anti-periodic fractional boundary value problems	7
An efficient numerical method to the stochastic fractional heat equation with random coefficients and fractionally integrated multiplicative noise	7
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids	7
Monotonicity and uniqueness of positive solutions to elliptic fractional p-equations	7
Operational matrix based numerical scheme for the solution of time fractional diffusion equations	7
Subordination and memory dependent kinetics in diffusion and relaxation phenomena	6
Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for fractional stochastic evolution equation with delay	6
A second-order fitted scheme for time fractional telegraph equations involving weak singularity	6
S-asymptotically $$\omega $$-periodic solutions for time-space fractional nonlocal reaction-diffusion equation with superlinear growth nonlinear terms	6
Special solutions to the space fractional diffusion problem	6
On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions	6
Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative	6
Appell system associated with the infinite dimensional Fractional Pascal measure	6
Pullback dynamics of 2D non-autonomous Reissner-Mindlin-Timoshenko plate systems	6
An inverse problem of determining the fractional order in the TFDE using the measurement at one space-time point	6
Existence, nonexistence and multiplicity of bounded solutions to a nonlinear BVP associated to the fractional Laplacian	6
Game-theoretical problems for fractional-order nonstationary systems	6
A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems	6
Unification of popular artificial neural network activation functions	6
Non-stationary zipper $$\alpha $$-fractal functions and associated fractal operator	6
Hopf’s lemma and radial symmetry for the Logarithmic Laplacian problem	6
Hölder regularity for the nonlinear stochastic time-fractional slow & fast diffusion equations on $${\mathbb {R}}^d$$	6
Halanay inequality involving $$\psi -$$Caputo derivative and application to a neural network system	6
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation	6
On the three dimensional generalized Navier-Stokes equations with damping	6
A simple series representation for a class of fractal interpolation functions	6
Finding extrema using the unified fractional derivative: a conjecture	6