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 2021-12-01 to 2025-12-01.)

Article	Citations
Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane	44
Bounds for mixing times for finite semi-Markov processes with heavy-tail jump distribution	42
Blow-up for a non-linear stable non-Gaussian process in fractional time	33
On generalized K-functionals in $$L_p$$ for $$0<p<1$$	32
Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations	30
Stability analysis of Hilfer fractional stochastic switched dynamical systems with non-Gaussian process and impulsive effects	28
Considerations regarding the accuracy of fractional numerical computations	28
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
Stochastic heat equation driven by space-only fractional Lévy noise	24
Differential transforms related to Caputo time-fractional derivatives and semigroups generated by fractional Schrödinger operators	24
The Spatially Variant Fractional Laplacian	24
Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices	23
Fractional differential equations of Bagley-Torvik and Langevin type	23
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	22
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	20
On heat equations associated with fractional harmonic oscillators	20
A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems	19
A review of constitutive models for non-Newtonian fluids	19
Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups	18
Mixed slow-fast stochastic differential equations: Averaging principle result	18
Dual Spaces of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications	18
Delsarte equation for Caputo operator of fractional calculus	17
Abstract multi-term fractional difference equations	17
Asymptotic analysis of three-parameter Mittag-Leffler function with large parameters, and application to sub-diffusion equation involving Bessel operator	16

On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions	16
Multi-term fractional oscillation integro-differential equations	16
Radial symmetry and Hopf lemma for fully nonlinear parabolic equations involving the fractional Laplacian	14
Representations of solutions of systems of time-fractional pseudo-differential equations	14
Multi-parametric Le Roy function revisited	14
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters	14
Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation	13
Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth	13
Decay estimates and extinction properties for some parabolic equations with fractional time derivatives	12
Controllability of Hilfer fractional backward evolution systems	12
The fractional stochastic heat equation driven by time-space white noise	12
Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes	12
On the convergence of the Galerkin method for random fractional differential equations	12
Complete synchronization of discrete-time fractional-order neural networks with leakage and distributed delays	12
A high order predictor-corrector method with non-uniform meshes for fractional differential equations	11
Limitations and applications in a fractional Barbalat’s Lemma	11
On the properties of the Le Roy function and of its generalized forms	11
Fractional Wiener chaos: Part 1	11
A unified analysis framework for generalized fractional Moore–Gibson–Thompson equations: Well-posedness and singular limits	11
The well-posedness analysis in Besov-type spaces for multi-term time-fractional wave equations	11
Fractional models for analysis of economic risks	11
Radial symmetry and Liouville theorem for master equations	10
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation	10
Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces	10
Stability analysis for Caputo fractional-order discrete system with first-order operator	10
Fractional boundary value problems and elastic sticky brownian motions	10
Boundedness of fractional integrals on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes	10
Riemann-Liouville derivatives of abstract functions and Sobolev spaces	10
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
Superlinear solutions of sublinear fractional differential equations and regular variation	10
A critical elliptic problem involving exponential and singular nonlinearities	10
Log-concavity and log-convexity of series containing multiple Pochhammer symbols	9
On the multivariate generalized counting process and its time-changed variants	9
Integral operators defined “up to a polynomial”	9
Berry-Esséen bounds for the statistical estimators of an Ornstein-Uhlenbeck process driven by a general Gaussian noise	9
Controllability and observability of linear time-varying fractional systems	9
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order	9
Vallée-Poussin theorem for fractional functional differential equations	8
From time to times	8
Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions	8
On the existence and uniqueness of the solution to multifractional stochastic delay differential equation	8
Numerical scheme for Erdélyi–Kober fractional diffusion equation using Galerkin–Hermite method	8
A semilinear diffusion PDE with variable order time-fractional Caputo derivative subject to homogeneous Dirichlet boundary conditions	8
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	8
Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives	8
Correction: Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise	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
Study on the diffusion fractional m-Laplacian with singular potential term	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
Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior	8
On the asymptotic behaviour of the Fourier transform of the Mittag-Leffler function	8
Fractional-order problem coupled with a second-order Moreau’s sweeping process	8
Sequential generalized Riemann–Liouville derivatives based on distributional convolution	8
Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities	8
The sliding method for fractional Laplacian systems	8
Landweber iteration method for simultaneous inversion of the source term and initial value of the Rayleigh-Stokes equation	8
A second-order fitted scheme for time fractional telegraph equations involving weak singularity	7
On the three dimensional generalized Navier-Stokes equations with damping	7
On a new class of segmental type periodic/anti-periodic fractional boundary value problems	7
A tempered subdiffusive Black–Scholes model	7
Some nonexistence results for space–time fractional Schrödinger equations without gauge invariance	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
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators	7
Game-theoretical problems for fractional-order nonstationary systems	7
Fractional boundary value problems	7
Anisotropic variable Campanato-type spaces and their Carleson measure characterizations	7
An efficient numerical method to the stochastic fractional heat equation with random coefficients and fractionally integrated multiplicative noise	7
Halanay inequality involving $$\psi -$$Caputo derivative and application to a neural network system	7
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation	7
Infinitely many large solutions to a variable order nonlocal singular equation	7
A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems	7
The nonlinear fractional Rayleigh-Stokes problem on an infinite interval	7
Continuous-time MISO fractional system identification using higher-order-statistics	7
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods	7
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids	7
Special solutions to the space fractional diffusion problem	6
Existence, nonexistence and multiplicity of bounded solutions to a nonlinear BVP associated to the fractional Laplacian	6
An inverse problem of determining the fractional order in the TFDE using the measurement at one space-time point	6
The existence and averaging principle for Caputo fractional stochastic delay differential systems	6
Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative	6
A simple series representation for a class of fractal interpolation functions	6
Appell system associated with the infinite dimensional Fractional Pascal measure	6
Hölder regularity for the nonlinear stochastic time-fractional slow & fast diffusion equations on $${\mathbb {R}}^d$$	6
Finding extrema using the unified fractional derivative: a conjecture	6
Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for fractional stochastic evolution equation with delay	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 3D Diffraction Optics: Resolvent Function Solution of Cauchy Problem	6
Pullback dynamics of 2D non-autonomous Reissner-Mindlin-Timoshenko plate systems	6
Non-stationary zipper $$\alpha $$-fractal functions and associated fractal operator	6
Unification of popular artificial neural network activation functions	6