Results 21 to 30 of about 274 (176)

Analysis of Cauchy problem with fractal-fractional differential operators

open access: yesDemonstratio Mathematica, 2023
Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain   +2 more
doaj   +1 more source

Existence result for a fractional differential equation involving a special derivative

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space.
Beddani Moustafa, Hedia Benaouda
doaj   +1 more source

Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control

open access: yesNonlinear Engineering, 2016
Most of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance
Rajagopal Karthikeyan   +1 more
doaj   +1 more source

Using Krasnoselskii's theorem to investigate the Cauchy and neutral fractional q-integro-differential equation via numerical technique

open access: yesNonlinear Engineering, 2022
This article discusses the stability results for solution of a fractional q-integro-differential problem via integral conditions. Utilizing the Krasnoselskii’s, Banach fixed point theorems, we demonstrate existence and uniqueness results.
Yue Xiao-Guang   +4 more
doaj   +1 more source

Multiplicity solutions for a class of p-Laplacian fractional differential equations via variational methods

open access: yesOpen Mathematics, 2022
While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
doaj   +1 more source

On the stability of solutions of fractional non conformable differential equations

open access: yes, 2020
In this note we obtain sufficient conditions under which we can guarantee the stability of solutions of a fractional differential equations of non-conformable type and we obtain some fractional analogous theorems of the direct Lyapunov method for a given
LUGO MOTTA BITTENCURT, Luciano M.   +2 more
core   +1 more source

Positive solutions for fractional differential equations with non-separated type nonlocal multi-point and multi-term integral boundary conditions

open access: yes, 2021
In this paper, we investigate a class of nonlinear fractional differential equations that contain both the multi-term fractional integral boundary condition and the multi-point boundary condition.
BENAICHA, Slimane, DJOURDEM, Habib
core   +1 more source

Implicit Caputo-Fabrizio fractional differential equations with delay

open access: yes, 2023
This article deals with some existence and uniqueness results for several classes of implicit fractional differential equations with delay. Our results are based on some fixed point theorems.
KRIM, Salim   +3 more
core   +1 more source

Oscillation of impulsive conformable fractional differential equations

open access: yesOpen Mathematics, 2016
In this paper, we investigate oscillation results for the solutions of impulsive conformable fractional differential equations of the ...
Tariboon Jessada, Ntouyas Sotiris K.
doaj   +1 more source

Nonlinear boundary value problems for mixed-type fractional equations and Ulam-Hyers stability

open access: yesOpen Mathematics, 2020
In this article, we discuss the nonlinear boundary value problems involving both left Riemann-Liouville and right Caputo-type fractional derivatives. By using some new techniques and properties of the Mittag-Leffler functions, we introduce a formula of ...
Wang Huiwen, Li Fang
doaj   +1 more source

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