Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Zidane Baitiche"'
Publikováno v:
AIMS Mathematics, Vol 7, Iss 6, Pp 9894-9910 (2022)
The momentous objective of this work is to discuss some qualitative properties of solutions such as the estimate of the solutions, the continuous dependence of the solutions on initial conditions and the existence and uniqueness of extremal solutions
Externí odkaz:
https://doaj.org/article/aa0366f53a2d4e3facee19fc671d577f
Publikováno v:
AIMS Mathematics, Vol 6, Iss 3, Pp 2486-2509 (2021)
The aim of the reported results in this manuscript is to handle the existence, uniqueness, extremal solutions, and Ulam-Hyers stability of solutions for a class of Ψ-Caputo fractional relaxation differential equations and a coupled system of Ψ-Capu
Externí odkaz:
https://doaj.org/article/349c66a352494a988bf39b455748a3e3
Publikováno v:
Results in Nonlinear Analysis, Vol 3, Iss 4, Pp 166-178 (2020)
In this article, we discuss the existence and uniqueness of solutions to some nonlinear fractional differential equations involving the ψ–Caputo fractional derivative with multi-point boundary conditions. Our results rely on the technique of topol
Externí odkaz:
https://doaj.org/article/4cb629bfe8b3455386e0b6e4b3283870
Publikováno v:
Mathematics, Vol 10, Iss 7, p 1173 (2022)
The main crux of this work is to study the existence of extremal solutions for a new class of nonlinear sequential fractional differential equations (NSFDEs) with nonlinear boundary conditions (NBCs) under the ψ-Caputo operator. The obtained outcome
Externí odkaz:
https://doaj.org/article/7abd80e2dec54bdd82306c63e25bbefb
Autor:
Choukri Derbazi, Zidane Baitiche, Mohammed S. Abdo, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad
Publikováno v:
Fractal and Fractional, Vol 6, Iss 3, p 146 (2022)
The aim of this research work is to derive some appropriate results for extremal solutions to a class of generalized Caputo-type nonlinear fractional differential equations (FDEs) under nonlinear boundary conditions (NBCs). The aforesaid results are
Externí odkaz:
https://doaj.org/article/6ca90a131dca4f54b2c4121be0b712f7
Publikováno v:
International Journal of Differential Equations, Vol 2020 (2020)
Our aim in this paper is to investigate the existence, uniqueness, and Mittag–Leffler–Ulam stability results for a Cauchy problem involving ψ-Caputo fractional derivative with positive constant coefficient in Banach and Fréchet Spaces. The tech
Externí odkaz:
https://doaj.org/article/051190b19c70452f81165121914e65f3
Publikováno v:
Mathematics, Vol 10, Iss 1, p 153 (2022)
A novel fixed-point theorem based on the degree of nondensifiability (DND) is used in this article to examine the existence of solutions to a boundary value problem containing the ψ-Caputo fractional derivative in Banach spaces. Besides that, an exa
Externí odkaz:
https://doaj.org/article/bded7f3c569a48a9895538c974be7c01
Publikováno v:
Symmetry, Vol 13, Iss 12, p 2412 (2021)
The current study is devoted to investigating the existence and uniqueness of solutions for a new class of symmetrically coupled system of nonlinear hyperbolic partial-fractional differential equations in generalized Banach spaces in the sense of ψ
Externí odkaz:
https://doaj.org/article/e8b8ca3027ce4681a37b0543c0a09e02
Autor:
Zidane Baitiche, Choukri Derbazi, Jehad Alzabut, Mohammad Esmael Samei, Mohammed K. A. Kaabar, Zailan Siri
Publikováno v:
Fractal and Fractional, Vol 5, Iss 3, p 81 (2021)
The main contribution of this paper is to prove the existence of extremal solutions for a novel class of ψ-Caputo fractional differential equation with nonlinear boundary conditions. For this purpose, we utilize the well-known monotone iterative tec
Externí odkaz:
https://doaj.org/article/b67c517b3e824f6f8379b8780ddb926c
Publikováno v:
Axioms, Vol 9, Iss 2, p 57 (2020)
In this article, we discuss the existence and uniqueness of extremal solutions for nonlinear initial value problems of fractional differential equations involving the ψ -Caputo derivative. Moreover, some uniqueness results are obtained. Our results
Externí odkaz:
https://doaj.org/article/a3d0adb0db5e47f68526bfff1f77069d