Results 61 to 70 of about 868 (169)

CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE

International Journal of Apllied Mathematics, 2019
The aim of the present paper is to prove the existence of solutions of the initial value problem for a nonlinear integro-differential equation of fractional order α ∈ (0, 1) with nonlocal conditions in Banach spaces.
Mohammed S Abdo, Abdulkafi. M. Saeed, S. K. Panchal   +2 more
semanticscholar   +1 more source

On fractional p-Laplacian problems with weight [PDF]

arXiv, 2014
We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator. The problem is set on a unbounded domain, and compactness issues have to be handled.
arxiv  

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

Open 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., Alsaedi Ahmed, Ahmad Bashir, Nieto Juan J.   +3 more
doaj   +1 more source

Dynamics of ranking processes in small-world networks [PDF]

arXiv, 2015
In the paper we discuss the dynamics of the order parameter in complex networks with long-range space interactions and temporal memory and analyze phase transitions induced by noise in such systems.
arxiv  

Analysis of Cauchy problem with fractal-fractional differential operators

Demonstratio 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, Atangana Abdon, Alkahtani Badr S.   +2 more
doaj   +1 more source

Lyapunov type inequality for fractional differential equation with k-Prabhakar derivative [PDF]

arXiv, 2017
In this paper, Lyapunov type inequality is establish for fractional boundary value problem involving the k-Prabhakar fractional derivative.
arxiv  

Some discrete fractional Lyapunov-type inequalities

, 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

Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations

Journal 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

Existence results and continuity dependence of solutions for fractional equations

, 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

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

East 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