Results 31 to 40 of about 974 (111)

Five Years of Continuous-time Random Walks in Econophysics

open access: yes, 2004
This paper is a short review on the application of continuos-time random walks to Econophysics in the last five years.Comment: 14 pages.
Scalas, Enrico
core   +2 more sources

Subordination Pathways to Fractional Diffusion

open access: yes, 2011
The uncoupled Continuous Time Random Walk (CTRW) in one space-dimension and under power law regime is splitted into three distinct random walks: (rw_1), a random walk along the line of natural time, happening in operational time; (rw_2), a random walk ...
D. Fulger   +17 more
core   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

Ulam–Hyers–Mittag-Leffler stability for a ψ-Hilfer problem with fractional order and infinite delay

open access: yesResults in Applied Mathematics, 2020
The research article concerned with developing the qualitative theory for nonlinear fractional functional differential equations (FFDEs) of arbitrary order with infinite delay involving generalized Hilfer fractional derivative of the form: HD0+α,β;ψy(t ...
Mohammed S. Abdo   +2 more
doaj   +1 more source

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary   +2 more
wiley   +1 more source

Existence and stability results for ψ-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions

open access: yesAIMS Mathematics, 2021
In this paper, we discuss the existence, uniqueness and stability of boundary value problems for $\psi$-Hilfer fractional integro-differential equations with mixed nonlocal (multi-point, fractional derivative multi-order and fractional integral ...
Weerawat Sudsutad   +2 more
doaj   +1 more source

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

open access: yes, 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

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

open access: yesOptimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson   +2 more
wiley   +1 more source

On the Existence of Solutions and Ulam-Type Stability for a Nonlinear ψ-Hilfer Fractional-Order Delay Integro-Differential Equation

open access: yesFractal and Fractional
In this work, we address a nonlinear ψ-Hilfer fractional-order Volterra integro-differential equation that incorporates n-multiple-variable time delays.
Cemil Tunç   +2 more
doaj   +1 more source

Existence and Ulam stability of k-Generalized ψ-Hilfer Fractional Problem

open access: yesJournal of Innovative Applied Mathematics and Computational Sciences, 2022
In this paper, we prove existence, uniqueness stability results for a class of initial value problem for fractional differential equations involving generalized ψ-Hilfer fractional derivative.
Jamal Eddine Lazreg   +2 more
doaj  

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