LYAPUNOV TYPE INEQUALITY FOR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM

Narayan G. Abuj; Deepak B. Pachpatte

doi:https://doi.org/10.56827/SEAJMMS.2023.1901.6

Narayan G. Abuj Applied Science Department, JNEC, MGM University, Chhatrapati Sambhajinagar - 431003, Maharashtra, INDIA

Deepak B. Pachpatte Department of mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, INDIA

Volume 19, Issue 1 Pages 63-72 April 30, 2023 327 downloads

Article overview

Abstract

In this paper we consider the discrete fractional boundary value problem. The Green's function and it's properties are used to find maximum value of function. With the help of maximum value of the function Lyapunov type inequality is obtain for this problem.

Keywords and Phrases

Lyapunov type inequalityFractional difference equationdiscrete fractional boundary value problem.

AMS Subject Classification

26D15, 39A12.

Reference information

How to Cite

Narayan G. Abuj, Deepak B. Pachpatte (2023). LYAPUNOV TYPE INEQUALITY FOR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM. South East Asian Journal of Mathematics and Mathematical Sciences, 19(1), 63-72.

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