IJPAM: Volume 106, No. 8 (2016)

SOLUTION OF FRACTIONAL INTEGRO DIFFERENTIAL
SYSTEM WITH FUZZY INITIAL CONDITION

S. Priyadharsini$^1$, V. Parthiban$^2$, A. Manivannan$^3$
$^1$Sri Krishna College of Arts and Science
Coimbatore, INDIA
$^{2,3}$School of Advanced Sciences
VIT University
Chennai Campus, INDIA


Abstract. In this work, we analyze the method of finding the solution of fractional integro differential equations of the form

\begin{displaymath}^C\! D^{\alpha}y(t)= a y(t) +\int_0^t K(s-t) y(t) \mathrm{d}t,\end{displaymath}

with fuzzy initial condition, where $^C\! D^{\alpha}$ is a Caputo fractional derivative. A numerical illustration is provided to explain the proposed theory.

Received: February 15, 2016

AMS Subject Classification: 92D25, 70K50, 35B36

Key Words and Phrases: fractional integrodifferential equations, fuzzy differential equations

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DOI: 10.12732/ijpam.v106i8.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 8
Pages: 107 - 112


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CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).