Existence results for neutral functional fractional differential equations with state dependent-delay

Velusamy Kavitha; Peng-Zhen Wang; R. Murugesu

doi:10.26637/mjm0101/007

Abstract

In this paper, we provide sufficient conditions for the existence of mild solutions for a class of fractional differential equations with state-dependent delay. The results are obtained by using the nonlinear alternative of Leray-Schauder type [14] fixed point theorem. An example is provided to illustrate the main results.

Keywords:

Functional differential equation, fractional derivative, fractional integral, state-dependent delay, fixed point

Mathematics Subject Classification:

26A32, 26A42, 34K30

Authors Imprint References Funding Related Articles Downloads

Velusamy Kavitha Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, Inda. https://orcid.org/0000-0003-0409-7121
Peng-Zhen Wang Department of Mathematics, Lanzhou Jiaotong University, Lanzhou-730070, China.
R. Murugesu Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts & Science, Coimbatore-641 020, India.

Pages: 50-61
Date Published: 01-09-2012
Vol. 1 No. 1 (2012): Inaugural Issue :: Malaya Journal of Matematik (MJM)

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