Nonlocal initial value problems for differential equations with Hilfer fractional derivative

Autor:	JinRong Wang, Yuruo Zhang
Rok vydání:	2015
Předmět:	Computational Mathematics Differential equation Applied Mathematics Mathematical analysis Mixed type Initial value problem Fixed point Integral equation Weighted space Mathematics Fractional calculus
Zdroj:	Applied Mathematics and Computation. 266:850-859
ISSN:	0096-3003
DOI:	10.1016/j.amc.2015.05.144
Popis:	In this paper, we discuss the existence of solutions to nonlocal initial value problem for differential equations with Hilfer fractional derivative. To begin with, we establish an equivalent mixed type integral equation for our problem. Then, we utilize basic properties of Hilfer fractional calculus and fixed point methods to derive three fundamental existence results in the weighted space of continuous functions. Some examples are given to illustrate our results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c6f4f6aa5ecc7f1c9e00ee09f44ea168 https://doi.org/10.1016/j.amc.2015.05.144 Zobrazit plný text záznamu Full Text from ScienceDirect