Results 21 to 30 of about 38,304 (201)

Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems

Mathematics, 2021
In this paper, we studied the existence results for solutions of a new class of the fractional boundary value problem in the Caputo–Hadamard settings.
Shahram Rezapour, Salim Ben Chikh, Abdelkader Amara, Sotiris K. Ntouyas, Jessada Tariboon, Sina Etemad   +5 more
doaj   +1 more source

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

An Initial Value Problem Involving Caputo-Hadamard Fractional Derivative: The Extremal Solutions and Stabilization

Journal of Advanced Engineering and Computation, 2020
In this paper, the existence of extremal solutions of Caputo-Hadamard-type fractional di erential equations (CHFDEs) with order α ∈ (1, 2) is established by employing the method of lower and upper solutions.
D. O’Regan, N. Hoa
semanticscholar   +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  

Analysis of boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative

, 2020
We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions.
M. Subramanian, T. Gopal
semanticscholar   +1 more source

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

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

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