Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator

Kaushik, KirtiKumar, AnoopKhan, AzizAbdeljawad, Thabet2024-01-212024-08-132024-01-212024-08-132023-02-272473698810.3934/math.2023514http://10.2.3.109/handle/32116/3435In this manuscript, the main objective is to analyze the existence, uniqueness,(EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential and fractional integral boundary conditions utilizing ?p-Laplacian operator. To continue, we will apply Green�s function to determine the suggested FDE�s equivalent integral form. The Guo-Krasnosel�skii fixed point theorem and the properties of the p-Laplacian operator are utilized to derive the existence results. Hyers-Ulam (HU) stability is additionally evaluated. Further, an application is presented to validate the effectiveness of the result. � 2023 the Author(s), licensee AIMS Press.en-USCaputo�s derivativefixed point theoremsGreen�s functionHyres-Ulam stabilityRiemann-Liouville integralExistence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operatorArticlehttp://www.aimspress.com/article/doi/10.3934/math.2023514AIMS Mathematics