OOIR: Observatory of International Research

Papers

(The TQCC of Fractional Calculus and Applied Analysis is 5. 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 2021-08-01 to 2025-08-01.)

Article	Citations
Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane	41
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 $$0<p<1$$	27
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	27
Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations	27
Fractional differential equations of Bagley-Torvik and Langevin type	26
Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions	25
Differential transforms related to Caputo time-fractional derivatives and semigroups generated by fractional Schrödinger operators	24
Considerations regarding the accuracy of fractional numerical computations	24
Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems	23
On heat equations associated with fractional harmonic oscillators	21
Stochastic heat equation driven by space-only fractional Lévy noise	20
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	20
Stability analysis of Hilfer fractional stochastic switched dynamical systems with non-Gaussian process and impulsive effects	19
Multi-parametric Le Roy function revisited	19
The Spatially Variant Fractional Laplacian	19
Towards a Unified theory of Fractional and Nonlocal Vector Calculus	19
A review of constitutive models for non-Newtonian fluids	19
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters	17
Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups	16
Delsarte equation for Caputo operator of fractional calculus	16
Abstract multi-term fractional difference equations	15
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	15
Dual Spaces of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications	15
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
Multi-term fractional oscillation integro-differential equations	14
A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems	14
Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth	13
Radial symmetry and Hopf lemma for fully nonlinear parabolic equations involving the fractional Laplacian	13
Limitations and applications in a fractional Barbalat’s Lemma	13
Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation	13
Controllability of Hilfer fractional backward evolution systems	13
Decay estimates and extinction properties for some parabolic equations with fractional time derivatives	12
On the convergence of the Galerkin method for random fractional differential equations	12
The fractional stochastic heat equation driven by time-space white noise	12
Fractional models for analysis of economic risks	11
The well-posedness analysis in Besov-type spaces for multi-term time-fractional wave equations	11
Radial symmetry and Liouville theorem for master equations	11
A high order predictor-corrector method with non-uniform meshes for fractional differential equations	11
Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes	11
Fractional Wiener chaos: Part 1	11
Infinitely many sign-changing solutions for a kind of fractional Klein-Gordon-Maxwell system	10
Initial-boundary value problems for coupled systems of time-fractional diffusion equations	10
Local Existence and Non-Existence for a Fractional Reaction-Diffusion Equation in Lebesgue Spaces	10
A unified analysis framework for generalized fractional Moore–Gibson–Thompson equations: Well-posedness and singular limits	10
Properties of the Set of Admissible “State Control” Pair for a Class of Fractional Semilinear Evolution Control Systems	10
Fractional boundary value problems and elastic sticky brownian motions	10
On the Decomposition of Solutions: From Fractional Diffusion to Fractional Laplacian	10
Riemann-Liouville derivatives of abstract functions and Sobolev spaces	9
A critical elliptic problem involving exponential and singular nonlinearities	9
Controllability and observability of linear time-varying fractional systems	9
Boundedness of fractional integrals on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes	9
On the multivariate generalized counting process and its time-changed variants	9
Integral operators defined “up to a polynomial”	9
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation	9
Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces	9
Superlinear solutions of sublinear fractional differential equations and regular variation	9
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order	9
Log-concavity and log-convexity of series containing multiple Pochhammer symbols	8
Fractional-order problem coupled with a second-order Moreau’s sweeping process	8
From time to times	8
Vallée-Poussin theorem for fractional functional differential equations	8
Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior	8
Correction: Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise	8
Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions	8
Analysis and Fast Approximation of a Steady-State Spatially-Dependent Distributed-order Space-Fractional Diffusion Equation	8
On the existence and uniqueness of the solution to multifractional stochastic delay differential equation	8
Fractional Musielak-Sobolev spaces: study of generalized double phase problem with Choquard-logarithmic nonlinearity	8
Filter Regularization Method for a Nonlinear Riesz-Feller Space-Fractional Backward Diffusion Problem with Temporally Dependent Thermal Conductivity	8
Summability of Formal Solutions for a Family of Generalized Moment Integro-Differential Equations	8
Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives	8

Explicit Representation of Discrete Fractional Resolvent Families in Banach Spaces	8
Approximate solutions for fractional stochastic integro-differential equation with short memory driven by non-instantaneous impulses	7
Some nonexistence results for space–time fractional Schrödinger equations without gauge invariance	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
Stability and stabilization of short memory fractional differential equations with delayed impulses	7
Study on the diffusion fractional m-Laplacian with singular potential term	7
Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities	7
Sequential generalized Riemann–Liouville derivatives based on distributional convolution	7
A Strong Maximum Principle for the Fractional Laplace Equation with Mixed Boundary Condition	7
Convolution series and the generalized convolution Taylor formula	7
Robust Fractional-Order Perfect Control for Non-Full Rank Plants Described in the Grünwald-Letnikov IMC Framework	7
A semilinear diffusion PDE with variable order time-fractional Caputo derivative subject to homogeneous Dirichlet boundary conditions	7
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	7
Convergence Rate Estimates for the Kernelized Predictor Corrector Method for Fractional Order Initial Value Problems	7
The sliding method for fractional Laplacian systems	6
Anisotropic variable Campanato-type spaces and their Carleson measure characterizations	6
The nonlinear fractional Rayleigh-Stokes problem on an infinite interval	6
Fractional boundary value problems	6
S-asymptotically $$\omega $$-periodic solutions for time-space fractional nonlocal reaction-diffusion equation with superlinear growth nonlinear terms	6
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation	6
Monte Carlo method for fractional-order differentiation	6
A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems	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
A tempered subdiffusive Black–Scholes model	6
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids	6
Game-theoretical problems for fractional-order nonstationary systems	6
An inverse problem of determining the fractional order in the TFDE using the measurement at one space-time point	6
Special solutions to the space fractional diffusion problem	6
Monotonicity and uniqueness of positive solutions to elliptic fractional p-equations	6
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods	6
Continuous-time MISO fractional system identification using higher-order-statistics	6
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators	6
Operational matrix based numerical scheme for the solution of time fractional diffusion equations	6
Existence, nonexistence and multiplicity of bounded solutions to a nonlinear BVP associated to the fractional Laplacian	6
A second-order fitted scheme for time fractional telegraph equations involving weak singularity	6
Appell system associated with the infinite dimensional Fractional Pascal measure	6
The Cauchy problem and distribution of local fluctuations of one Riesz gravitational field	5
Variational Methods to the p-Laplacian type Nonlinear Fractional Order Impulsive Differential Equations with Sturm-Liouville Boundary-Value Problem	5
Hölder regularity for the nonlinear stochastic time-fractional slow & fast diffusion equations on $${\mathbb {R}}^d$$	5
Infinitely many large solutions to a variable order nonlocal singular equation	5
The existence and averaging principle for Caputo fractional stochastic delay differential systems	5
The fractional variation and the precise representative of $$BV^{\alpha ,p}$$ functions	5
A time-space fractional parabolic type problem: weak, strong and classical solutions	5
Sticky Brownian motions on star graphs	5
Cauchy problem for non-autonomous fractional evolution equations	5
On the three dimensional generalized Navier-Stokes equations with damping	5
Unification of popular artificial neural network activation functions	5
Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative	5
Pullback dynamics of 2D non-autonomous Reissner-Mindlin-Timoshenko plate systems	5
Collage theorems, invertibility and fractal functions	5
Mixed fractional stochastic heat equation with additive fractional-colored noise	5
The Rate of Convergence on Fractional Power Dissipative Operator on Compact Manifolds	5
Hopf’s lemma and radial symmetry for the Logarithmic Laplacian problem	5
On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions	5
Non-stationary zipper $$\alpha $$-fractal functions and associated fractal operator	5
Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for fractional stochastic evolution equation with delay	5
Identifying source term and initial value simultaneously for the time-fractional diffusion equation with Caputo-like hyper-Bessel operator	5
A mutually exciting rough jump-diffusion for financial modelling	5
Subordination and memory dependent kinetics in diffusion and relaxation phenomena	5