Jaydev Dabas, Ganga Ram Gautam
Abstract:
In this article, we establish the existence of a solution for an
impulsive neutral fractional integro-differential state dependent
delay equation subject to an integral boundary condition.
The existence results are proved by applying the classical fixed
point theorems. An example is presented to demonstrate the application
of the results established.
Submitted May 3, 2013. Published December 17, 2013.
Math Subject Classifications: 26A33, 34K05, 34A12, 34A37, 26A33.
Key Words: Fractional order differential equation; nonlocal condition;
contraction; impulsive condition.
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Jaydev Dabas Department of Applied Science and Engineering IIT Roorkee, Saharanpur Campus Saharanpur-247001, India email: jay.dabas@gmail.com |
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Ganga Ram Gautam Department of Applied Science and Engineering IIT Roorkee, Saharanpur Campus Saharanpur-247001, India email: gangaiitr11@gmail.com |
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