Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems

Document Type : Research Paper


1 Department of Mathematics, University of Malaknd at Chakdara Dir Lower, Khybar Pakhtunkhwa, Pakistan

2 University of Peshawar, Pakistan


In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.