Integral solutions of fractional evolution equations with nondense domain

Autor:	Gu, H. B., Zhou, Y., Bashir Ahmad, Alsaedi, A.
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	integral solution Fractional evolution equation nondense domain lcsh:Mathematics lcsh:QA1-939 Caputo derivative
Zdroj:	Electronic Journal of Differential Equations, Vol 2017, Iss 145, Pp 1-15 (2017) ResearcherID
ISSN:	1072-6691
Popis:	In this article, we study the existence of integral solutions for two classes of fractional order evolution equations with nondensely defined linear operators. First, we consider the nonhomogeneous fractional order evolution equation and obtain its integral solution by Laplace transform and probability density function. Subsequently, based on the form of integral solution for nonhomogeneous fractional order evolution equation, we investigate the existence of integral solution for nonlinear fractional order evolution equation by noncompact measure method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::dd4da10a81355a966e9390a04c4a9453 http://ejde.math.txstate.edu/Volumes/2017/145/abstr.html Zobrazit plný text záznamu Plný text ve formátu PDF