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

Yıl 2025, Cilt: 27 Sayı: 1, 76 - 93

Öyküm Ülke

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

Öz

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.

Anahtar Kelimeler

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

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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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