Results 81 to 90 of about 1,294 (167)

Existence, Uniqueness and Stability of Nonlinear Implicit Fractional Dynamical Equation with Impulsive condition on Time Scales

open access: yesNonautonomous Dynamical Systems, 2019
The main motive of this research article is to establish the existence, uniqueness and stability results for the non-linear fractional differential equation with impulsive condition on time scales.
Kumar Vipin, Malik Muslim
doaj   +1 more source

A coupled system of fractional differential equations with nonlocal integral boundary conditions

open access: yes, 2012
In this paper, we prove the existence and uniqueness of solutions for a system of fractional differential equations with Riemann-Liouville integral boundary conditions of different order.
S. Ntouyas, M. Obaid
semanticscholar   +1 more source

Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations

open access: yesJournal of Mathematics and Applications, 2019
The present paper deals with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations with Katugampola fractional derivative.
Bilal Basti, Y. Arioua, N. Benhamidouche
semanticscholar   +1 more source

Some discrete fractional Lyapunov-type inequalities

open access: yes, 2015
In this work we obtain Lyapunov-type inequalities for two-point conjugate and rightfocal boundary value problems depending on discrete fractional operators Δα , 1 < α 2 . Mathematics subject classification (2010): Primary 34A08, 26D15; Secondary 39A12.
R. Ferreira
semanticscholar   +1 more source

A Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations

open access: yesEast Asian Journal on Applied Mathematics, 2019
In this work, we consider a boundary value problem involving Caputo derivatives defined in the plane. We develop a fast locally refined finite volume method for variable-coefficient conservative space-fractional diffusion equations in the plane to ...
J. Jia, Hong Wang
semanticscholar   +1 more source

Existence results and continuity dependence of solutions for fractional equations

open access: yes, 2020
Using two fractional-order integral inequalities we investigate the existence and uniqueness of solutions of the fractional nonlinear Volterra integral equation and the fractional nonlinear integrodifferential equation in Banach space Cξ , using an ...
J. V. C. Sousa
semanticscholar   +1 more source

Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument

open access: yesAdvances in Difference Equations, 2011
In this article, we consider the existence of at least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument where 2 < α ≤ 3, 0 < η < 1 ...
Ntouyas SK, Wang Guotao, Zhang Lihong
doaj  

The general solution of impulsive systems with Riemann-Liouville fractional derivatives

open access: yesOpen Mathematics, 2016
In this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero).
Zhang Xianmin   +4 more
doaj   +1 more source

Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions

open access: yesOpen Mathematics, 2016
We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions.
Aqlan Mohammed H.   +3 more
doaj   +1 more source

Existence and multiplicity of positive solutions for a system of fractional boundary value problems

open access: yesBoundary Value Problems, 2014
We study the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to integral boundary conditions.
J. Henderson, R. Luca
semanticscholar   +1 more source

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