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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Existence Result for a Neutral Fractional Integro-Differential Equation with State Dependent Delay

Journal of Environmental Accounting and Management 7(4) (2018) 371--381 | DOI:10.5890/JAND.2018.12.005

K. Jothimani$^{1}$, N. Valliammal$^{1}$,$^{2}$, C. Ravichandran$^{3}$

$^{1}$ Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore - 641 202, Tamil Nadu, India

$^{2}$ Research and Development Centre, Bharathiar University, Coimbatore - 641 046, Tamilnadu, India

$^{3}$ PG & Research Department of Mathematics, Kongunadu Arts & Science College, Coimbatore - 641029, Tamil Nadu, India

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Abstract

In this article, we establish the existence of mild solutions for a class of fractional neutral integro-differential equation with state dependent in Banach space. The results are obtained by Banach contraction principle with resolvent operator technique. An example is offered to explain the theory.

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