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

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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