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http://dx.doi.org/10.12941/jksiam.2018.22.063

EFFECT OF PERTURBATION IN THE SOLUTION OF FRACTIONAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS  

ABDO, MOHAMMED. S. (RESEARCH SCHOLAR AT DEPARTMENT OF MATHEMATICS, DR. BABASAHEB AMBEDKAR MARATHWADA UNIVERSITY)
PANCHAL, SATISH. K. (DEPARTMENT OF MATHEMATICS, DR. BABASAHEB AMBEDKAR MARATHWADA UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.22, no.1, 2018 , pp. 63-74 More about this Journal
Abstract
In this paper, we study the initial value problem for neutral functional differential equations involving Caputo fractional derivative of order ${\alpha}{\in}(0,1)$ with infinite delay. Some sufficient conditions for the uniqueness and continuous dependence of solutions are established by virtue of fractional calculus and Banach fixed point theorem. Some results obtained showed that the solution was closely related to the conditions of delays and minor changes in the problem. An example is provided to illustrate the main results.
Keywords
Fractional Functional differential equations; Caputo fractional derivative; Continuous dependence; Fixed point theorem;
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