Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Jamal Eddine Lazreg"'
Publikováno v:
Journal of Innovative Applied Mathematics and Computational Sciences (2023)
This paper aims to explore the existence results of a certain type of Caputo fractional qq-difference equations in Banach spaces. To achieve this goal, we employ a fixed point theorem that relies on the concept of measure of noncompactness and the co
Externí odkaz:
https://doaj.org/article/bd81c9f60f1e40d4a9a8ae73ce8ec2d6
Publikováno v:
Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2022, Iss 1, Pp 1-16 (2022)
Abstract In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contractio
Externí odkaz:
https://doaj.org/article/00d84306ce144d25add6c516259c5e91
Publikováno v:
Journal of Innovative Applied Mathematics and Computational Sciences, Vol 2, Iss 2 (2022)
In this paper, we prove existence, uniqueness stability results for a class of initial value problem for fractional differential equations involving generalized ψ-Hilfer fractional derivative. The result is based on the Banach contraction mapping pr
Externí odkaz:
https://doaj.org/article/de43d97a0b5a434bb1cdc45bbf621e16
Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-21 (2020)
Abstract 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 instantaneous impulses in Banach spaces. The results are ba
Externí odkaz:
https://doaj.org/article/629dfb637af945a4aa0d17be30489e44
Publikováno v:
Abstract and Applied Analysis, Vol 2021 (2021)
This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative. Th
Externí odkaz:
https://doaj.org/article/5f6f25ab934e4772a49702d15e4a550f
Publikováno v:
Journal of Function Spaces, Vol 2020 (2020)
The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. We study the existence and c
Externí odkaz:
https://doaj.org/article/91b196d3b225443289852007838e47f1
Publikováno v:
Fractal and Fractional, Vol 5, Iss 1, p 1 (2020)
This manuscript is devoted to proving some results concerning the existence of solutions to a class of boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional
Externí odkaz:
https://doaj.org/article/0c8d471ae75747e49ca3779b68e46eeb
Autor:
Mouffak Benchohra, Jamal Eddine Lazreg
Publikováno v:
Surveys in Mathematics and its Applications, Vol 9 (2014), Pp 79-92 (2014)
In this paper, we establish the existence and uniqueness of solution for a class of initial value problem for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle,
Externí odkaz:
https://doaj.org/article/a8990c44895b4b2383bf327e0a46eb30
Publikováno v:
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity. 12:287-298
Publikováno v:
Annals of West University of Timisoara - Mathematics and Computer Science. 59:79-91
In this paper, we study the following fractional differential equation involving the Atangana-Baleanu-Caputo fractional derivative: { A B C a D τ θ [ x ( ϑ ) − F ( ϑ , x ( ϑ ) ) ] = G ( ϑ , x ( ϑ ) ) , ϑ ∈ J : = [ a , b ] , x ( a ) = φ a