Integral solutions of fractional evolution equations with nondense domain
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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. Electronic Journal of Differential Equations, 2017(145), pp. 1-15.
Rights
Attribution 4.0 International