LYAPUNOV TYPE INEQUALITY FOR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 105

Volume : 19 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2023.1901.6
Author :
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)

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 inequality, Fractional difference equation, discrete fractional boundary value problem.

A.M.S. subject classification

26D15, 39A12.

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