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 2022-08-01 to 2026-08-01.)

Article	Citations
Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane	49
On generalized K-functionals in $$L_p$$ for $$0<p<1$$	39
Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations	35
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	34
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	33
Considerations regarding the accuracy of fractional numerical computations	31
Differential transforms related to Caputo time-fractional derivatives and semigroups generated by fractional Schrödinger operators	30
Stochastic heat equation driven by space-only fractional Lévy noise	29
The Spatially Variant Fractional Laplacian	27
Blow-up for a non-linear stable non-Gaussian process in fractional time	26
Bernstein Fractional Derivatives: Censoring and Stochastic Processes	23
Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices	22
Stability analysis of Hilfer fractional stochastic switched dynamical systems with non-Gaussian process and impulsive effects	22
The generalized Duhamel principle for fully coupled systems of fractional order	21
A review of constitutive models for non-Newtonian fluids	20
Fractional differential equations of Bagley-Torvik and Langevin type	19
On heat equations associated with fractional harmonic oscillators	19
Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems	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	17
Direct and inverse abstract Cauchy problems with fractional powers of almost sectorial operators	17
Fractal Riemann-Stieltjes Calculus	17
A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems	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	15
Abstract multi-term fractional difference equations	15
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters	15
Multi-term fractional oscillation integro-differential equations	15
Decay estimates and extinction properties for some parabolic equations with fractional time derivatives	14
Representations of solutions of systems of time-fractional pseudo-differential equations	14
Inverse t-Source problem and a strict positivity property for coupled subdiffusion systems	14
On the convergence of the Galerkin method for random fractional differential equations	14
On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions	14
Initial-boundary value problems for coupled systems of time-fractional diffusion equations	13
Controllability of Hilfer fractional backward evolution systems	13
Fractional Wiener chaos: Part 1	13
Correction to: A nonuniform and fast two-grid L1-FEM algorithm for nonlinear multi-term time-fractional diffusion equation and its robust error analysis	13
An inverse potential problem for fractional subdiffusion: local stability analysis and coupled complex boundary method	13
Stability analysis for Caputo fractional-order discrete system with first-order operator	13
Radial symmetry and Liouville theorem for master equations	13
The well-posedness analysis in Besov-type spaces for multi-term time-fractional wave equations	13
Infinitely many sign-changing solutions for a kind of fractional Klein-Gordon-Maxwell system	13
Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes	12
Fractional boundary value problems and elastic sticky brownian motions	12
The fractional stochastic heat equation driven by time-space white noise	12
Fractional models for analysis of economic risks	12
Asymptotic behaviors for distribution dependent stochastic partial differential equations driven by fractional Brownian motion	11
A unified analysis framework for generalized fractional Moore–Gibson–Thompson equations: Well-posedness and singular limits	11
Properties of the 1st-level general fractional derivatives with arbitrary order on a finite interval	11
Complete synchronization of discrete-time fractional-order neural networks with leakage and distributed delays	11
On the properties of the Le Roy function and of its generalized forms	11
Polynomial decay of porous elastic system with fractional damping	11
A high order predictor-corrector method with non-uniform meshes for fractional differential equations	10
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation	10
On solutions of space-time fractional nonlinear Fokker–Planck equation. II	10
Limitations and applications in a fractional Barbalat’s Lemma	10
Stability analysis for nonlocal initial value problems involving nonlocal Caputo derivative and loss-of-regularity nonlinearities	10
Young type inequality and Hausdorff–Young type inequality for convolution operator associated with fractional Fourier transform of $$\alpha $$-order	10
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order	10
On the multivariate generalized counting process and its time-changed variants	10
Boundedness of fractional integrals on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes	10
Superlinear solutions of sublinear fractional differential equations and regular variation	10
Fractional Musielak-Sobolev spaces: study of generalized double phase problem with Choquard-logarithmic nonlinearity	9
Controllability and observability of linear time-varying fractional systems	9
Global solutions to semilinear subdiffusion-normal transport equations: well-posedness and Strichartz estimates	9
Log-concavity and log-convexity of series containing multiple Pochhammer symbols	9
Application of seventh-kind Chebyshev polynomials to variable-order reaction-diffusion and advection-dispersion equations	9
Fractional Toeplitz operators with radial symbols	9
Bifurcations of a fractional-order neutral-type neural network	9
Fractional-order problem coupled with a second-order Moreau’s sweeping process	9
A critical elliptic problem involving exponential and singular nonlinearities	9
Berry-Esséen bounds for the statistical estimators of an Ornstein-Uhlenbeck process driven by a general Gaussian noise	9
Separation method of semi-fixed variables for solving a generalized time-fractional reaction-diffusion equation	8
Existence, comparison, and monotonicity of principal eigenvalues of fractional Sturm-Liouville problems involving Riemann-Liouville derivatives	8

Asymptotics and geometric flows for a class of nonlocal curvatures	8
Boundedness of the fractional maximal operator on Orlicz-Lorentz spaces	8
Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term	8
Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions	8
Approximate solutions for fractional stochastic integro-differential equation with short memory driven by non-instantaneous impulses	8
Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives	8
Some results concerning B-local variable Morrey-Lorentz spaces	8
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	8
Correction: Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise	8
On the asymptotic behaviour of the Fourier transform of the Mittag-Leffler function	8
On the existence and uniqueness of the solution to multifractional stochastic delay differential equation	8
Exact controllability for nonlinear Hilfer fractional Volterra-Fredholm integrodifferential equations $$(1< \varrho < 2)$$ with infinite delay based on the measure of noncompactness	8
Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior	8
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods	7
A tempered subdiffusive Black–Scholes model	7
An efficient numerical method to the stochastic fractional heat equation with random coefficients and fractionally integrated multiplicative noise	7
Monotonicity and uniqueness of positive solutions to elliptic fractional p-equations	7
Existence, nonexistence and multiplicity of bounded solutions to a nonlinear BVP associated to the fractional Laplacian	7
Solutions of time fractional anomalous diffusion equations with coefficients depending on both time and space variables	7
A parallel multi-domain spectral collocation algorithm for the Caputo-Hadamard type time fractional differential equation	7
Study on the diffusion fractional m-Laplacian with singular potential term	7
On a new class of segmental type periodic/anti-periodic fractional boundary value problems	7
The sliding method for fractional Laplacian systems	7
Fractional coupled Halanay inequality and its applications	7
Multiplicity of solutions for mixed local-nonlocal elliptic equations with singular nonlinearity	7
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators	7
Space–time duality for fractional powers of sectorial operators, with applications to graph laplacians	7
Positive controllability and positive output controllability of fractional discrete linear time-invariant systems	7
Landweber iteration method for simultaneous inversion of the source term and initial value of the Rayleigh-Stokes equation	7
A Robust fractional order PI controller for time constant variations	7
Continuous-time MISO fractional system identification using higher-order-statistics	7
The nonlinear fractional Rayleigh-Stokes problem on an infinite interval	7
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids	7
Fractional 3D Diffraction Optics: Resolvent Function Solution of Cauchy Problem	7
Existence and asymptotic behavior of normalized ground state solutions to fractional Schrödinger equation with singular potential and Hartree-type nonlinearity	7
A semilinear diffusion PDE with variable order time-fractional Caputo derivative subject to homogeneous Dirichlet boundary conditions	7
Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities	7
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
A simple series representation for a class of fractal interpolation functions	6
Wellposedness of the recovery of multi-factor source in fractional diffusion equations by integral type observation	6
Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative	6
Finding extrema using the unified fractional derivative: a conjecture	6
Subordination and memory dependent kinetics in diffusion and relaxation phenomena	6
Halanay inequality involving $$\psi -$$Caputo derivative and application to a neural network system	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
A second-order fitted scheme for time fractional telegraph equations involving weak singularity	6
A class of positive Fox H-functions	6
Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for fractional stochastic evolution equation with delay	6
Identifying source term and initial value simultaneously for the time-fractional diffusion equation with Caputo-like hyper-Bessel operator	6
Non-stationary zipper $$\alpha $$-fractal functions and associated fractal operator	6
S-asymptotically $$\omega $$-periodic solutions for time-space fractional nonlocal reaction-diffusion equation with superlinear growth nonlinear terms	6
On self-adjoint Caputo-type fractional Hahn difference equations	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
Appell system associated with the infinite dimensional Fractional Pascal measure	6
Pullback dynamics of 2D non-autonomous Reissner-Mindlin-Timoshenko plate systems	6
Dependence of solutions on the order of the Caputo-Hadamard derivative and illustrative examples	6
The existence and averaging principle for Caputo fractional stochastic delay differential systems	6
Unification of popular artificial neural network activation functions	6
Operational matrix based numerical scheme for the solution of time fractional diffusion equations	6