IJPAM: Volume 108, No. 1 (2016)
FRACTIONAL DIFFERENTIAL EQUATION




Aurangabad, Maharashtra, INDIA

Kai Shankarrao Gutte ACS College
Dharmapuri, Beed, Maharashtra, INDIA

P.E.S. College of Engineering
Nagsenvana, Aurangabad, (M.S.) INDIA
Abstract. In this paper we prove the nature and existence of the solutions for a weighted nonlinear fractional differential equation with nonlocal condition. Given a bounded interval of the real line
for some
and
, we consider the fractional differential equation
where
and
are Riemann Liouville fractional derivatives of order
.
Under some assumptions the nonlocal weighted Cauchy type fractional differential equation and result on its solution will be discussed in nonlinear fractional differential equation.
Received: March 11, 2016
AMS Subject Classification: 26A33, 34K37, 34A08, 45E10, 47H10
Key Words and Phrases: weighted nonlocal problem, nonlinear fractional differential equation, Reimann Liouville integral and derivative, fractional differential equation, fractional integral equation
Download paper from here.
DOI: 10.12732/ijpam.v108i1.9 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: 108
Issue: 1
Pages: 79 - 91
Google Scholar; DOI (International DOI Foundation); WorldCAT.
This work is licensed under the Creative Commons Attribution International License (CC BY).