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 2021-04-01 to 2025-04-01.)

Article	Citations
Bounds for mixing times for finite semi-Markov processes with heavy-tail jump distribution	97
Mixed stochastic heat equation with fractional Laplacian and gradient perturbation	46
Considerations regarding the accuracy of fractional numerical computations	36
A review of constitutive models for non-Newtonian fluids	31
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	30
Space-time fractional parabolic equations on a metric star graph with spatial fractional derivative of Sturm-Liouville type: analysis and discretization	26
Hölder regularity for non-autonomous fractional evolution equations	26
Continuity of solutions for tempered fractional general diffusion equations driven by TFBM	26
Multivariable Fractional-Order PID Tuning by Iterative Non-Smooth Static-Dynamic H∞ Synthesis	26
Some nonexistence results for space–time fractional Schrödinger equations without gauge invariance	23
Fractional Diffusion-Wave Equations: Hidden Regularity for Weak Solutions	23
Kinetic Solutions for Nonlocal Stochastic Conservation Laws	23
Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane	22
Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data	21
Convergence Rate Estimates for the Kernelized Predictor Corrector Method for Fractional Order Initial Value Problems	20
FCAA Related News, Events and Books (FCAA—volume 24–4–2021)	19
FCAA Related News, Events and Books (FCAA—volume 24–6–2021)	19
Global stability of fractional different orders nonlinear feedback systems with positive linear parts and interval state matrices	19
On differentiability of solutions of fractional differential equations with respect to initial data	17
A Boundary Value Problem for a Partial Differential Equation with Fractional Derivative	17
Sliding methods for the higher order fractional laplacians	16
The sliding method for fractional Laplacian systems	15
Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices	14
Robust Fractional-Order Perfect Control for Non-Full Rank Plants Described in the Grünwald-Letnikov IMC Framework	14
Asymptotics of the s-fractional Gaussian perimeter as $$s\rightarrow 0^+$$	14

Study on the diffusion fractional m-Laplacian with singular potential term	13
Existence and multiplicity of positive solutions for a critical fractional Laplacian equation with singular nonlinearity	13
Construction and analysis of series solutions for fractional quasi-Bessel equations	13
Subordination principle and approximation of fractional resolvents and applications to fractional evolution equations	12
Abstract fractional inverse source problem of order $$0<\alpha <1$$ in a Banach space	12
Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term	12
Spectral analysis of multifractional LRD functional time series	12
Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems	11
On generalized K-functionals in $$L_p$$ for $$0<p<1$$	11
Properties of the multi-index special function $${\mathcal {W}}^{\left( \bar{\alpha },\bar{\nu }\right) }(z)$$	11
Inverse problem of determining the order of the fractional derivative in the Rayleigh-Stokes equation	11
Decay solutions to abstract impulsive fractional mobile–immobile equations involving superlinear nonlinearities	11
A semilinear diffusion PDE with variable order time-fractional Caputo derivative subject to homogeneous Dirichlet boundary conditions	10
Existence and regularity of mild solutions to backward problem for nonlinear fractional super-diffusion equations in Banach spaces	10
Two-dimensional fractional shearlet transforms in $$L^2({\mathbb {R}}^2)$$	10
Time optimal controls for Hilfer fractional evolution equations	10
Nonnegative solutions of a coupled k-Hessian system involving different fractional Laplacians	10
Spectral analysis of a family of nonsymmetric fractional elliptic operators	9
A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling	9
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	9
Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities	9
Efficient spectral collocation method for fractional differential equation with Caputo-Hadamard derivative	9
Sensitivity analysis for a fractional stochastic differential equation with $$S^{p}$$-weighted pseudo almost periodic coefficients and infinite delay	9
Transformations of the matrices of the fractional linear systems to their canonical stable forms	8
Sum of series and new relations for Mittag-Leffler functions	8
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	8
Fractional differential equations of Bagley-Torvik and Langevin type	8
On heat equations associated with fractional harmonic oscillators	8
The Spatially Variant Fractional Laplacian	8
Publisher Correction: Subordination results for a class of multi-term fractional Jeffreys-type equations	8
Hardy–Hénon fractional equation with nonlinearities involving exponential critical growth	7
Sequential generalized Riemann–Liouville derivatives based on distributional convolution	7
Optimal regional control for a class of semilinear time-fractional diffusion systems with distributed feedback	7
Author Correction: On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications	7
Numerical scheme for Erdélyi–Kober fractional diffusion equation using Galerkin–Hermite method	7
Monte Carlo method for fractional-order differentiation extended to higher orders	7
Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations	7
Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions	7
Application of subordination principle to coefficient inverse problem for multi-term time-fractional wave equation	7
On the computation of the Mittag-Leffler function of fractional powers of accretive operators	7
Relative controllability of linear state-delay fractional systems	7
Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation $$\partial _t^\beta u = - {\left( { - \Delta } \right)^{\alpha /2}}u - {\left( { - \Delta } \right)^	7
A Meyer-Itô formula for stable processes via fractional calculus	7
Optimal F-domain stabilization technique for reduction of commensurate fractional-order SISO systems	7
Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise	7
Differential transforms related to Caputo time-fractional derivatives and semigroups generated by fractional Schrödinger operators	6
A variational theory for integral functionals involving finite-horizon fractional gradients	6
On boundary value problem of the nonlinear fractional partial integro-differential equation via inverse operators	6
B-Spline Collocation Discretizations of Caputo and Riemann-Liouville Derivatives: A Matrix Comparison	6
Caputo delta weakly fractional difference equations	6

A class of Hilfer fractional differential evolution hemivariational inequalities with history-dependent operators	6
Blow-up for a non-linear stable non-Gaussian process in fractional time	6
Operational Calculus for the General Fractional Derivative and Its Applications	6
A non-local semilinear eigenvalue problem	6
The Bouncing Ball and the Grünwald-Letnikov Definition of Fractional Derivative	6
Overview of fractional calculus and its computer implementation in Wolfram Mathematica	6
Fractional boundary value problems	6
Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations	6
A bifurcation result for a Keller-Segel-type problem	6
Difference Between Riesz Derivative and Fractional Laplacian on the Proper Subset of ℝ	6
Stochastic heat equation driven by space-only fractional Lévy noise	6
Fractional calculus for distributions	6
Existence and approximate controllability of Hilfer fractional impulsive evolution equations	6
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods	6
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters	5
Multi-term fractional oscillation integro-differential equations	5
Stochastic solutions of generalized time-fractional evolution equations	5
Continuous-time MISO fractional system identification using higher-order-statistics	5
System of fractional boundary value problems at resonance	5
Discrete Fractional Boundary Value Problems and Inequalities	5
On the Generalized Fractional Laplacian	5
Entropy and alternative entropy functionals of fractional Gaussian noise as the functions of Hurst index	5
Numerical conservation laws of time fractional diffusion PDEs	5
Sharp asymptotics in a fractional Sturm-Liouville problem	5
Global attractivity for fractional differential equations of Riemann-Liouville type	5
Averaging Theory for Fractional Differential Equations	5
Wind turbulence modeling for real-time simulation	5
A tempered subdiffusive Black–Scholes model	5
Local and global conserved quantities involving generalized operators	5
Approximate controllability results for the Sobolev type fractional delay impulsive integrodifferential inclusions of order $${r} \in (1,2)$$ via sectorial operator	5
Unified predictor–corrector method for fractional differential equations with general kernel functions	5
Regularization of an inverse source problem for fractional diffusion-wave equations under a general noise assumption	5
Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups	5
Multi-parametric Le Roy function revisited	5
Fractional Fokker-Planck-Kolmogorov equations with Hölder continuous drift	5
Anniversary of Prof. S.G. Samko, FC Events (FCAA–Volume 24–2–2021)	5
Publisher Correction: Optimal approximation of analog PID controllers of complex fractional-order	5
Anisotropic variable Campanato-type spaces and their Carleson measure characterizations	5
Time-fractional discrete diffusion equation for Schrödinger operator	5
Monotonicity and uniqueness of positive solutions to elliptic fractional p-equations	5
General one-dimensional model of the time-fractional diffusion-wave equation in various geometries	5