Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Mohamed I. Abbas"'
Publikováno v:
AIMS Mathematics, Vol 7, Iss 11, Pp 20328-20340 (2022)
In the existing article, the existence of solutions to nonlinear fractional differential inclusions in the sense of the Atangana-Baleanu-Caputo (ABC) fractional derivatives in Banach space is studied. The investigation of the main results relies on t
Externí odkaz:
https://doaj.org/article/4fad13c506074fdca547692d22979c86
Publikováno v:
Mathematics, Vol 12, Iss 2, p 233 (2024)
An initial value problem for a scalar nonlinear differential equation with a variable order for the generalized proportional Caputo fractional derivative is studied. We consider the case of a piecewise constant variable order of the fractional deriva
Externí odkaz:
https://doaj.org/article/02196129b165429d80839ee7ce6c56d1
Publikováno v:
Fractal and Fractional, Vol 7, Iss 11, p 804 (2023)
This paper delves into an examination of the existence, uniqueness, and stability properties of a non-local integro-differential equation featuring the Hilfer fractional derivative with order ω∈(1,2) for the RLC model. Based on Schaefer’s fixed
Externí odkaz:
https://doaj.org/article/7ff93163b34b42c0a2543f820442403d
Autor:
Mohamed I. Abbas, Snezhana Hristova
Publikováno v:
AIMS Mathematics, Vol 6, Iss 11, Pp 12832-12844 (2021)
The present paper is concerned with the existence of solutions of a new class of nonlinear generalized proportional fractional differential inclusions with the right-hand side contains a Carathèodory-type multi-valued nonlinearity on infinite interv
Externí odkaz:
https://doaj.org/article/2dd5dda576a2472ab0a368a3ed30c161
Autor:
Muthaiah Subramanian, Jehad Alzabut, Mohamed I. Abbas, Chatthai Thaiprayoon, Weerawat Sudsutad
Publikováno v:
Mathematics, Vol 10, Iss 11, p 1823 (2022)
In this article, we investigate the existence and uniqueness of solutions for a nonlinear coupled system of Liouville–Caputo type fractional integro-differential equations supplemented with non-local discrete and integral boundary conditions. The n
Externí odkaz:
https://doaj.org/article/749b699878304420854abb4a5c9fd59d
Autor:
Mohamed I. Abbas, Snezhana Hristova
Publikováno v:
Mathematics, Vol 9, Iss 21, p 2720 (2021)
A generalized proportional vector-order fractional derivative in the Caputo sense is defined and studied. Two types of existence results for the mild solutions of the initial value problem for nonlinear Caputo-type generalized proportional vector-ord
Externí odkaz:
https://doaj.org/article/8cf934cfd7ee49cfb7dceb09bd24e161
Autor:
Snezhana Hristova, Mohamed I. Abbas
Publikováno v:
Symmetry, Vol 13, Iss 6, p 996 (2021)
The object of investigation in this paper is a scalar linear fractional differential equation with generalized proportional derivative of Riemann–Liouville type (LFDEGD). The main goal is the obtaining an explicit solution of the initial value prob
Externí odkaz:
https://doaj.org/article/8cd1685db1454ca0af6875bb3398a7e0
Publikováno v:
Symmetry, Vol 13, Iss 2, p 264 (2021)
This paper deals with a new class of hybrid fractional differential equations with fractional proportional derivatives of a function with respect to a certain continuously differentiable and increasing function ϑ. By means of a hybrid fixed point th
Externí odkaz:
https://doaj.org/article/942527685c4244cda46f9ede1b8f802d
Autor:
Mohamed I. Abbas
Publikováno v:
Abstract and Applied Analysis, Vol 2015 (2015)
We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. The first existence and uniqueness result is based on Banach’s contraction principle. Moreover,
Externí odkaz:
https://doaj.org/article/a3c5dfc821044458a1d4af8a515833bc
Autor:
Mohamed I. Abbas
Publikováno v:
Advances in Difference Equations, Vol 2010 (2010)
Externí odkaz:
https://doaj.org/article/b41ad361f3ad4163a2d7ff738a4f5be5