p-Laplasyenli kesirli q-fark denkleminin varlık ve teklik sonuçları

Year 2025, Volume: 27 Issue: 1, 76 - 93, 20.01.2025

Öyküm Ülke

https://doi.org/10.25092/baunfbed.1475240

Abstract

Bu çalışmanın amacı, Schaefer ve Banach'ın sabit nokta teoremlerini kullanarak p-Laplasyenli kesirli q-fark denkleminin sınır değer probleminin çözümlerinin varlığı ve tekliği üzerine bazı sonuçlar elde etmektir. Uygulama olarak, ana sonucu göstermek için bir örnek sunulmuştur.

Keywords

Kesirli q-fark denklem , sabit nokta teoeremleri , varlık , teklik , Schaefer sabit nokta teoremi , Banach sabit nokta teoremi

Existence and uniqueness results for fractional q-difference equation with p-Laplacian

Abstract

The aim of this paper is to obtain some results on the existence and uniqueness of solutions to the boundary value problem of the fractional q-difference equation with p-Laplacian using Schaefer's and Banach's fixed point theorems. As an application, an example is presented to illustrate the main result.

Keywords

Fractional q-difference equation , fixed point theorems , existence , uniqueness , Schaefer’s fixed point theorem , Banach fixed point theorem

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