Results 11 to 20 of about 1,085 (139)

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

Numerical solution of fractional Sturm-Liouville equation in integral form [PDF]

open access: yes, 2014
In this paper a fractional differential equation of the Euler-Lagrange / Sturm-Liouville type is considered. The fractional equation with derivatives of order $\alpha \in \left( 0,1 \right]$ in the finite time interval is transformed to the integral form.
Blaszczyk, Tomasz, Ciesielski, Mariusz
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

Coupled system of a fractional order differential equations with weighted initial conditions

open access: yesOpen Mathematics, 2019
Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A.   +1 more
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

Generalized Fractional Nonlinear Birth Processes [PDF]

open access: yes, 2015
We consider here generalized fractional versions of the difference-differential equation governing the classical nonlinear birth process. Orsingher and Polito (Bernoulli 16(3):858-881, 2010) defined a fractional birth process by replacing, in its ...
BEGHIN, Luisa   +2 more
core   +1 more source

Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions

open access: yesOpen Mathematics, 2018
In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which
Hao Xinan, Wang Huaqing
doaj   +1 more source

Monotone iterative procedure and systems of a finite number of nonlinear fractional differential equations [PDF]

open access: yes, 2015
The aim of the paper is to present a nontrivial and natural extension of the comparison result and the monotone iterative procedure based on upper and lower solutions, which were recently established in (Wang et al. in Appl. Math. Lett.
A Babakhani   +25 more
core   +2 more sources

Investigation of hybrid fractional q-integro-difference equations supplemented with nonlocal q-integral boundary conditions

open access: yesDemonstratio Mathematica, 2023
In this article, we introduce and study a new class of hybrid fractional qq-integro-difference equations involving Riemann-Liouville qq-derivatives, supplemented with nonlocal boundary conditions containing Riemann-Liouville qq-integrals of different ...
Alsaedi Ahmed   +3 more
doaj   +1 more source

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