Results 31 to 40 of about 13,452 (220)

New exploration of operators of fractional neutral integro-differential equations in Banach spaces through the application of the topological degree concept

AIMS Mathematics, 2022
In this paper, we analyze the behavior of the neutral integro-differential equations of fractional order including the Caputo-Hadamard fractional derivative. The results and solutions are obtained using the topological degree method.
Samy A. Harisa, Chokkalingam Ravichandran, Kottakkaran Sooppy Nisar , Nashat Faried, Ahmed Morsy   +4 more
doaj   +1 more source

A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]

Surveys in Mathematics and its Applications, 2023
A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh, Jessada Tariboon   +3 more
doaj  

Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces

International Journal of Analysis and Applications, 2023
In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces.
Hasanen A. Hammad, Hassen Aydi, Doha A. Kattan   +2 more
openaire   +2 more sources

On Some Operators Involving Hadamard Derivatives [PDF]

, 2013
In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
core   +1 more source

On impulsive partial differential equations with Caputo-Hadamard fractional derivatives [PDF]

Advances in Difference Equations, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations

AIMS Mathematics, 2021
This paper aims to present the existence, uniqueness, and Hyers-Ulam stability of the coupled system of nonlinear fractional differential equations (FDEs) with multipoint and nonlocal integral boundary conditions.
Subramanian Muthaiah, Dumitru Baleanu, Nandha Gopal Thangaraj   +2 more
doaj   +1 more source

Fractional Euler-Lagrange differential equations via Caputo derivatives [PDF]

, 2011
We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given.
AA Kilbas, AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, B Brunt van, D Baleanu, D Baleanu, D Baleanu, D Mozyrska, D Mozyrska, DFM Torres, F Riewe, GSF Frederico, GSF Frederico, GSF Frederico, I Podlubny, NRO Bastos, NRO Bastos, OP Agrawal, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Magin, RA El-Nabulsi, RA El-Nabulsi, TM Atanacković   +29 more
core   +3 more sources

Functional Impulsive Fractional Differential Equations Involving the Caputo-Hadamard Derivative and Integral Boundary Conditions

International Journal of Analysis and Applications, 2023
In this paper, we investigate the existence and uniqueness of solutions for functional impulsive fractional differential equations and integral boundary conditions. Our results are based on some fixed point theorems. Finally, we provide an example to illustrate the validity of our main results.
Aida Irguedi, Khadidja Nisse, Samira Hamani   +2 more
openaire   +2 more sources

Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory

AIMS Mathematics, 2020
This article aims to prove the existence and uniqueness of solutions to a nonlinear boundary value problem of fractional differential equations involving the Caputo-Hadamard fractional derivative with nonlocal fractional integro-differential boundary ...
Choukri Derbazi, Hadda Hammouche
doaj   +1 more source

Correlated fractional counting processes on a finite time interval [PDF]

, 2014
We present some correlated fractional counting processes on a finite time interval. This will be done by considering a slight generalization of the processes in Borges et al. (2012).
Beghin, Luisa, Garra, Roberto, Macci, Claudio   +2 more
core   +1 more source