Results 61 to 70 of about 2,624 (188)

A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs ...
Priti Purohit, Ravi Gupta, Shyamsunder, D. L. Suthar, Antonio Di Crescenzo   +4 more
wiley   +1 more source

Existence and Stability for Fractional Differential Equations with a ψ–Hilfer Fractional Derivative in the Caputo Sense

Mathematics
This article aims to explore the existence and stability of solutions to differential equations involving a ψ-Hilfer fractional derivative in the Caputo sense, which, compared to classical ψ-Hilfer fractional derivatives (in the Riemann–Liouville sense),
Wenchang He, Yuhang Jin, Luyao Wang, Ning Cai, Jia Mu   +4 more
doaj   +1 more source

Continuous time random walk, Mittag-Leffler waiting time and fractional diffusion: mathematical aspects

, 2007
We show the asymptotic long-time equivalence of a generic power law waiting time distribution to the Mittag-Leffler waiting time distribution, characteristic for a time fractional CTRW.
Gorenflo, Rudolf, Mainardi, Francesco
core   +3 more sources

On Hilbert-Pachpatte type inequalities within $ \psi $-Hilfer fractional generalized derivatives

AIMS Mathematics, 2023
<abstract><p>In this manuscript, we discussed various new Hilbert-Pachpatte type inequalities implying the left sided $ \psi $-Hilfer fractional derivatives with the general kernel. Our results are a generalization of the inequalities of Pečarić and Vuković ^{[<xref ref-type="bibr" rid="b1">1</xref>]} ...
Başçı, Yasemin, Baleanu, Dumitru
openaire   +2 more sources

Exact Solutions and Dynamic Analysis for a Fractional Partial Differential Equation Emerging in Mathematical Biology

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G′⁄G)‐expansion method is applied to solve this class of fractional‐order nonlinear differential equations and derive analytical solutions.
Hongqiang Tu, Yongyi Gu, Guotao Wang
wiley   +1 more source

Fractional Sequential Coupled Systems of Hilfer and Caputo Integro-Differential Equations with Non-Separated Boundary Conditions

Axioms
In studying boundary value problems and coupled systems of fractional order in (1,2], involving Hilfer fractional derivative operators, a zero initial condition is necessary.
Ayub Samadi, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

Ulam–Hyers–Rassias stability for nonlinear Ψ-Hilfer stochastic fractional differential equation with uncertainty

Advances in Difference Equations, 2020
We consider a nonlinear Cauchy problem involving the Ψ-Hilfer stochastic fractional derivative with uncertainty, and we give a stability result. Using fixed point theory, we are able to provide a fuzzy Ulam–Hyers–Rassias stability for the considered ...
Reza Chaharpashlou, Reza Saadati, Abdon Atangana   +2 more
doaj   +1 more source

k-Hilfer-Prabhakar Fractional Derivatives and Applications

, 2016
In this paper we define the regularized version of k-Prabhakar fractional derivative, k-Hilfer-Prabhakar fractional derivative, regularized version of k-Hilfer-Prabhakar fractional derivative and find their Laplace and Sumudu transforms. Using these results, the relation between k-Prabhakar fractional derivative and its regularized ver- sion involving ...
Panchal, S. K., Khandagale, Amol D., Dole, Pravinkumar V.   +2 more
openaire   +2 more sources

A Hybrid Fractal‐Fractional and Machine Learning Framework for Zika Virus Spread Prediction

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We develop and analyze a Zika transmission model that couples mosquito‐borne and sexual pathways with host awareness and vector control interventions, assuming no disease‐induced mortality. The dynamics are formulated in a fractal‐fractional framework with order ℘ and fractal dimension ς, allowing memory and nonlocal effects.
Ashraf Al-Quran, Ramsha Shafqat, Ateq Alsaadi, Abdelhamid Mohammed Djaouti, Dengfeng Lu   +4 more
wiley   +1 more source

Existence and Attractivity of Mild Solutions for Fractional Diffusion Equations Involving the Regularized ψ-Hilfer Fractional Derivatives

Axioms
The regularized ψ-Hilfer derivative within the sense of Caputo is an improved version of the ψ-Hilfer fractional derivative, primarily because it addresses the issue where the initial conditions of problems involving the ψ-Hilfer fractional derivative ...
Luyao Wang, Yuhang Jin, Wenchang He, Jia Mu   +3 more
doaj   +1 more source