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 …

On the nonlinear (k, ψ)-Hilfer fractional differential equations

KD Kucche, AD Mali - Chaos, Solitons & Fractals, 2021 - Elsevier
In the current paper, we present the most generalized variant of the Hilfer derivative so-
called (k, Ψ)-Hilfer fractional derivative operator. The (k, Ψ)-Riemann-Liouville and (k, Ψ) …

Implicit Fractional Differential Equations

M Benchohra, E Karapınar, JE Lazreg… - Advanced Topics in …, 2023 - Springer
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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 …

Analysis of Hilfer fractional integro-differential equations with almost sectorial operators

K Karthikeyan, A Debbouche, DFM Torres - Fractal and Fractional, 2021 - mdpi.com
In this work, we investigate a class of nonlocal integro-differential equations involving Hilfer
fractional derivatives and almost sectorial operators. We prove our results by applying …

Nonlocal and multiple-point fractional boundary value problem in the frame of a generalized Hilfer derivative

W Shatanawi, A Boutiara, MS Abdo, MB Jeelani… - Advances in Difference …, 2021 - Springer
The aim of this manuscript is to handle the nonlocal boundary value problem for a specific
kind of nonlinear fractional differential equations involving a ξ-Hilfer derivative. The used …

Existence and uniqueness results for sequential -Hilfer fractional differential equations with multi-point boundary conditions

SK Ntouyas, D Vivek - Acta Mathematica Universitatis …, 2021 - iam.fmph.uniba.sk
In this paper, we study multi-point boundary value problems for sequential fractional
differential equations involving $\psi $-Hilfer fractional derivative. Existence and uniqueness …

[图书][B] Fractional differential equations: a coincidence degree approach

M Benchohra, S Bouriah, A Salim, Y Zhou - 2023 - books.google.com
This book is devoted to the existence and uniqueness results for various classes of
problems with periodic conditions. All of the problems in this book deal with fractional …