Display Abstract

Title Asymptotic Behavior of Solutions to Nonlinear Nonlocal Fractional Functional Differential Equations

Name Madhukant Sharma
Country India
Email sharmamk003@gmail.com
Co-Author(s) Madhukant Sharma, Shruti Dubey
Submit Time 2014-02-24 09:13:34
Session
Special Session 54: Nonlocal fractional problems and related topics
Contents
In this paper, we discuss the asymptotic behavior of solution to nonlocal initial value problems of nonlinear fractional order functional differential equations in a Banach space. We prove our results with the assumption that $\{-A(t):t \geq 0\}$ generates a resolvent operator family and nonlinear part is a Lipschitz continuous function. Also, we assume that $-A(t)$ generates the analytic semigroup for each $t \geq 0$. At the end a fractional order partial differential equation is given to illustrate the obtained abstract results.