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 2021-06-01 to 2025-06-01.)

Article	Citations
Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane	39
Considerations regarding the accuracy of fractional numerical computations	34
Bounds for mixing times for finite semi-Markov processes with heavy-tail jump distribution	31
Blow-up for a non-linear stable non-Gaussian process in fractional time	29
Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices	27
Fractional differential equations of Bagley-Torvik and Langevin type	27
Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations	26
On generalized K-functionals in $$L_p$$ for $$0<p<1$$	26
Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions	24
Differential transforms related to Caputo time-fractional derivatives and semigroups generated by fractional Schrödinger operators	23
Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems	22
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	22
On heat equations associated with fractional harmonic oscillators	21
Stability analysis of Hilfer fractional stochastic switched dynamical systems with non-Gaussian process and impulsive effects	20
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	19
A review of constitutive models for non-Newtonian fluids	19
Multi-parametric Le Roy function revisited	18
Stochastic heat equation driven by space-only fractional Lévy noise	18
The Spatially Variant Fractional Laplacian	18
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters	17
On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions	15
Mixed slow-fast stochastic differential equations: Averaging principle result	15
Delsarte equation for Caputo operator of fractional calculus	15
A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems	14
Asymptotic analysis of three-parameter Mittag-Leffler function with large parameters, and application to sub-diffusion equation involving Bessel operator	13

Dual Spaces of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications	13
Towards a Unified theory of Fractional and Nonlocal Vector Calculus	13
Abstract multi-term fractional difference equations	13
Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups	13
Multi-term fractional oscillation integro-differential equations	13
Representations of solutions of systems of time-fractional pseudo-differential equations	13
Initial-boundary value problems for coupled systems of time-fractional diffusion equations	12
Fractional boundary value problems and elastic sticky brownian motions	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
Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth	11
Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation	11
The fractional stochastic heat equation driven by time-space white noise	11
Infinitely many sign-changing solutions for a kind of fractional Klein-Gordon-Maxwell system	11
Decay estimates and extinction properties for some parabolic equations with fractional time derivatives	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
A high order predictor-corrector method with non-uniform meshes for fractional differential equations	10
Fractional models for analysis of economic risks	10
Fractional Wiener chaos: Part 1	10
Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes	10
Local Existence and Non-Existence for a Fractional Reaction-Diffusion Equation in Lebesgue Spaces	9
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order	9
A unified analysis framework for generalized fractional Moore–Gibson–Thompson equations: Well-posedness and singular limits	9
Properties of the Set of Admissible “State Control” Pair for a Class of Fractional Semilinear Evolution Control Systems	9
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation	9
Radial symmetry and Liouville theorem for master equations	9
Controllability of Hilfer fractional backward evolution systems	9
On the Decomposition of Solutions: From Fractional Diffusion to Fractional Laplacian	9
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
From time to times	8
Correction: Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise	8
Summability of Formal Solutions for a Family of Generalized Moment Integro-Differential Equations	8
Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions	8
Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces	8
On the multivariate generalized counting process and its time-changed variants	8
Riemann-Liouville derivatives of abstract functions and Sobolev spaces	8
Filter Regularization Method for a Nonlinear Riesz-Feller Space-Fractional Backward Diffusion Problem with Temporally Dependent Thermal Conductivity	8
Fractional Musielak-Sobolev spaces: study of generalized double phase problem with Choquard-logarithmic nonlinearity	8
Integral operators defined “up to a polynomial”	8
A critical elliptic problem involving exponential and singular nonlinearities	8
Superlinear solutions of sublinear fractional differential equations and regular variation	8
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
Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior	8
The sliding method for fractional Laplacian systems	7
A Strong Maximum Principle for the Fractional Laplace Equation with Mixed Boundary Condition	7
Explicit Representation of Discrete Fractional Resolvent Families in Banach Spaces	7
Approximate solutions for fractional stochastic integro-differential equation with short memory driven by non-instantaneous impulses	7

Convolution series and the generalized convolution Taylor formula	7
Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives	7
Vallée-Poussin theorem for fractional functional differential equations	7
Robust Fractional-Order Perfect Control for Non-Full Rank Plants Described in the Grünwald-Letnikov IMC Framework	7
Analysis and Fast Approximation of a Steady-State Spatially-Dependent Distributed-order Space-Fractional Diffusion Equation	7
On the existence and uniqueness of the solution to multifractional stochastic delay differential equation	7
Stability and stabilization of short memory fractional differential equations with delayed impulses	7
Some nonexistence results for space–time fractional Schrödinger equations without gauge invariance	6
Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term	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
Study on the diffusion fractional m-Laplacian with singular potential term	6
Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities	6
Sequential generalized Riemann–Liouville derivatives based on distributional convolution	6
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators	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
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods	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
Anisotropic variable Campanato-type spaces and their Carleson measure characterizations	6
Continuous-time MISO fractional system identification using higher-order-statistics	6
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	6
A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems	5
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation	5
Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for fractional stochastic evolution equation with delay	5
Approximate calculation of the Caputo-type fractional derivative from inaccurate data. Dynamical approach	5
Unification of popular artificial neural network activation functions	5
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids	5
A second-order fitted scheme for time fractional telegraph equations involving weak singularity	5
Fractional boundary value problems	5
Game-theoretical problems for fractional-order nonstationary systems	5
On the three dimensional generalized Navier-Stokes equations with damping	5
Variational Methods to the p-Laplacian type Nonlinear Fractional Order Impulsive Differential Equations with Sturm-Liouville Boundary-Value Problem	5
Non-stationary zipper $$\alpha $$-fractal functions and associated fractal operator	5
Monte Carlo method for fractional-order differentiation	5
Appell system associated with the infinite dimensional Fractional Pascal measure	5
Operational matrix based numerical scheme for the solution of time fractional diffusion equations	5
Monotonicity and uniqueness of positive solutions to elliptic fractional p-equations	5
S-asymptotically $$\omega $$-periodic solutions for time-space fractional nonlocal reaction-diffusion equation with superlinear growth nonlinear terms	5
Infinitely many large solutions to a variable order nonlocal singular equation	5
Hölder regularity for the nonlinear stochastic time-fractional slow & fast diffusion equations on $${\mathbb {R}}^d$$	5
On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions	5
Existence, nonexistence and multiplicity of bounded solutions to a nonlinear BVP associated to the fractional Laplacian	5
Special solutions to the space fractional diffusion problem	5
An inverse problem of determining the fractional order in the TFDE using the measurement at one space-time point	5
The nonlinear fractional Rayleigh-Stokes problem on an infinite interval	5
Sharp asymptotics in a fractional Sturm-Liouville problem	5