LOCAL AND EXTREMAL SOLUTIONS OF SOME FRACTIONAL INTEGRODIFFERENTIAL EQUATION WITH IMPULSES

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:62 Issue:1
LOCAL AND EXTREMAL SOLUTIONS OF SOME FRACTIONAL INTEGRODIFFERENTIAL EQUATION WITH IMPULSES

LOCAL AND EXTREMAL SOLUTIONS OF SOME FRACTIONAL INTEGRODIFFERENTIAL EQUATION WITH IMPULSES

Authors : Atmania RAHİMA

Pages : 101-113

Doi:10.1501/Commua1_0000000689

View : 11 | Download : 9

Publication Date : 2013-02-01

Article Type : Research Paper

Abstract :The subject of this work is to prove existence, uniqueness, and continuous dependence upon the data of solution to integrodifferential hyperbolic equation with integral conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, the solution by using a numerical technique for inverting the Laplace transforms is obtained.
Keywords : Local existence, extremal solution, integrodiğerential equation, Caputo fractional derivative, impulsive conditions, …xed point theory, impulsive fractional inequality

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