A survey on Hadamard and Hilfer fractional differential equations: analysis and stability

S Abbas, M Benchohra, JE Lazreg, Y Zhou - Chaos, Solitons & Fractals, 2017 - Elsevier
In the present survey paper, we prove some results concerning the existence of solutions
and weak solutions for some classes of Hadamard and Hilfer fractional differential …

The chronicles of fractional calculus

JAT Machado, V Kiryakova - Fractional Calculus and Applied …, 2017 - degruyter.com
Since the 60s of last century Fractional Calculus exhibited a remarkable progress and
presently it is recognized to be an important topic in the scientific arena. This survey …

[图书][B] General fractional derivatives: theory, methods and applications

XJ Yang - 2019 - taylorfrancis.com
General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

Fractional differential equations with a Caputo derivative with respect to a kernel function and their applications

R Almeida, AB Malinowska… - … Methods in the Applied …, 2018 - Wiley Online Library
This paper is devoted to the study of the initial value problem of nonlinear fractional
differential equations involving a Caputo‐type fractional derivative with respect to another …

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 …

[图书][B] Lie symmetry analysis of fractional differential equations

MS Hashemi, D Baleanu - 2020 - taylorfrancis.com
The trajectory of fractional calculus has undergone several periods of intensive
development, both in pure and applied sciences. During the last few decades fractional …

On implicit fractional q‐difference equations: Analysis and stability

N Laledj, A Salim, JE Lazreg, S Abbas… - … Methods in the …, 2022 - Wiley Online Library
This paper deals with some existence and Ulam stability results for some classes of implicit
fractional qq‐difference equations with and without random effects in Banach spaces and …

[图书][B] Fractional differential equations and inclusions: classical and advanced topics

S Abbas, M Benchohra, JE Lazreg, JJ Nieto, Y Zhou - 2023 - World Scientific
In this chapter, we introduce notations, definitions, and preliminary facts that will be used in
the remainder of this book. Some notations and definitions from the fractional calculus, some …

Global stability results for Volterra–Hadamard random partial fractional integral equations

A Salim, S Abbas, M Benchohra… - Rendiconti del Circolo …, 2023 - Springer
Global stability results for Volterra–Hadamard random partial fractional integral equations |
Rendiconti del Circolo Matematico di Palermo Series 2 Skip to main content SpringerLink …

[PDF][PDF] Measure of noncompactness and fractional hybrid differential equations with hybrid conditions

C Derbazi, H Hammouche, A Salim… - Differ. Equ. Appl, 2022 - researchgate.net
This paper deals with the existence of solutions for hybrid fractional differential equations
involving Caputo fractional derivative of order 2< ζ≤ 3. We base our arguments on a …