Integral solutions of fractional evolution equations with nondense domain

Date

2017-06-19

Authors

Gu, Haibo
Zhou, Yong
Ahmad, Bashir
Alsaedi, Ahmed

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

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.

Description

Keywords

Fractional evolution equation, Caputo derivative, Integral solution, Nondense domain

Citation

Gu, H., Zhou, Y., Ahmad, B., & Alsaedi, A. (2017). Integral solutions of fractional evolution equations with nondense domain. <i>Electronic Journal of Differential Equations, 2017</i>(145), pp. 1-15.

Rights

Attribution 4.0 International

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