An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain

KS Nisar, K Jothimani, K Kaliraj… - Chaos, Solitons & …, 2021 - Elsevier
In this article, the controllability results of the non-dense Hilfer neutral fractional derivative
(HNFD) are presented. The results are acknowledged using semigroup theory, fractional …

Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations

A Salim, M Benchohra, E Karapınar… - Advances in Difference …, 2020 - Springer
In this manuscript, we examine the existence and the Ulam stability of solutions for a class of
boundary value problems for nonlinear implicit fractional differential equations with …

Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations

AD Mali, KD Kucche - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit
fractional differential equations involving Ψ‐Hilfer fractional derivative subject to nonlocal …

[HTML][HTML] Efficient results on Hilfer pantograph model with nonlocal integral condition

KS Nisar - Alexandria Engineering Journal, 2023 - Elsevier
The optimistic plan of this work reveals the solvability conditions of Hilfer fractional
pantograph integrodifferential equations of type 0≤ q 2≤ 1 and order 0< q 1< 1. The …

Delayed analogue of three‐parameter Mittag‐Leffler functions and their applications to Caputo‐type fractional time delay differential equations

IT Huseynov, NI Mahmudov - Mathematical Methods in the …, 2024 - Wiley Online Library
In this paper, we consider a Cauchy problem for a Caputo‐type time delay linear system of
fractional differential equations with permutable matrices. First, we provide a new …

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

W Sudsutad, C Thaiprayoon, SK Ntouyas - Aims Math, 2021 - aimspress.com
In this paper, we discuss the existence, uniqueness and stability of boundary value
problems for ψ-Hilfer fractional integro-differential equations with mixed nonlocal (multi …

On the theory of ψ-Hilfer nonlocal Cauchy problem

MA Almalahi, SK Panchal - 2021 - elib.sfu-kras.ru
In this paper, we derive the representation formula of the solution for ψ-Hilfer fractional
differential equation with constant coefficient in the form of Mittag-Leffler function by using …

Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system

D Luo, T Abdeljawad, Z Luo - Turkish Journal of Mathematics, 2021 - journals.tubitak.gov.tr
This paper is concerned with a kind of nonlinear Nabla Caputo fractional difference system
with variable-order and fixed initial valuable. By applying Krasnoselskii's fixed point …

New approach on controllability of Hilfer fractional derivatives with nondense domain

KS Nisar, K Jothimani, C Ravichandran, D Baleanu… - 2022 - earsiv.cankaya.edu.tr
This work picturizes the results on the controllability of the nondense Hilfer neutral fractional
derivative (HNFD). The uniqueness and controllability of HNFD are discussed with Mönch …

Attractivity for differential equations of fractional order and ψ-Hilfer type

JVC Sousa, M Benchohra… - Fractional Calculus and …, 2020 - degruyter.com
This paper investigates the overall solution attractivity of the fractional differential equation
involving the ψ-Hilfer fractional derivative and using the Krasnoselskii's fixed point theorem …