Results 61 to 70 of about 650,024 (164)

On Hilfer-Type Fractional Impulsive Differential Equations

, 2022
Using the Schauder fixed point theorem, we prove the existence of impulsive fractional differential equations using Hilfer fractional derivative and nearly sectorial operators in this paper.
Panjaiyan Karthikeyann, Chanisara Metpattarahiran, Kulandhaivel Karthikeyan, Thanin Sitthiwirattham   +3 more
core   +1 more source

Existence Theory and Stability Analysis of Nonlinear Neutral Pantograph Equations via Hilfer-Katugampola Fractional Derivative [PDF]

, 2020
 The aim and objectives of this paper are devoted to study some adequate results for the existence and stability of solutions of nonlinear neutral pantograph equations with Hilfer-Katugampola fractional derivative.
S. Harikrishnan, E.M. Elsayed, K. Kanagarajan   +2 more
core   +1 more source

Evolution psi-Hilfer fractional differential equations in Banach spaces

Electronic Journal of Differential Equations
This article concerns evolution equations involving $\psi$-Hilfer fractional derivative in a Banach space. By using the theory of fractional calculus and $\psi$-Laplace transform, we firstly derive a definition of mild solutions for these equations ...
Jin Liang, Yunyi Mu, Ti-Jun Xiao
doaj   +3 more sources

A numerical approach for multi-dimensional ψ-Hilfer fractional nonlinear Galilei invariant advection–diffusion equations

Results in Physics
In this paper, we introduce the ψ-Hilfer fractional version of nonlinear Galilei-invariant advection–diffusion equations in one and two dimensions. A new type of basic functions, namely the ψ-Chebyshev cardinal functions (CFs), is introduced to establish
M.H. Heydari, M. Razzaghi, M. Bayram
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

Boundary Value Problems With ψ‐Hilfer Fractional Derivative: Existence Theorems in Nonlinear Analysis

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This work investigates the existence of infinitely many nontrivial weak solutions to a boundary value problem involving the right‐sided and left‐sided ψ‐Hilfer fractional derivative and ψ‐Riemann–Liouville fractional integral operators. Using variational methods and critical point theory, we obtain new existence criteria for solutions of the given ...
Amjad Salari, Zainab Mawdoodi, Deepali Deepali   +2 more
wiley   +1 more source

An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif, Maha Hamood, Kirtiwant P. Ghadle, Patricia J. Y. Wong   +3 more
wiley   +1 more source

Ulam–Hyers–Rassias Stability of ψ-Hilfer Volterra Integro-Differential Equations of Fractional Order Containing Multiple Variable Delays

The authors consider a nonlinear (Formula presented.) -Hilfer fractional-order Volterra integro-differential equation ((Formula presented.) -Hilfer FrOVIDE) that incorporates N-multiple variable time delays into the equation.
Osman Tunç, Cemil Tunç, Graef, John R., Tunç, Osman, John R. Graef, Tunç, Cemil   +5 more
core   +1 more source

Stability analysis of Hilfer fractional differential systems [PDF]

, 2016
In this paper, we present some remarks on the stability of fractional order systems with the Hilfer derivative. Using the Laplace transform, some sufficient conditions on the stability and asymptotic stability of autonomous and non-autonomous fractional ...
Rezazadeh, Hadi, Aminikhah, Hossein, Refahi Sheikhani, Amir   +2 more
core   +1 more source

On the Traits of Solutions of Multipoint and Multistrip Fractional Boundary Value Problems

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This article is concerned with a new class of multipoint and multistrip type nonlocal boundary value problems for nonlinear Caputo fractional differential equations. By employing the tools of the fixed point theory, the existence and uniqueness criteria for solutions of the given problem are presented.
Bashir Ahmad, Naif Almuylibi, Ahmed Alsaedi, Peiguang Wang   +3 more
wiley   +1 more source