Unique positive solution for nonlinear Caputo-type fractional q-difference equations with nonlocal and Stieltjes integral boundary conditions

2019/09/23 by Ahmad Y. A. Salamooni, Salamooni, Ahmad Y. A., D. D. Pawar +1
Mathematics · #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.1909.10290

Abstract

This paper contain a new discussion for the type of generalized nonlinear Caputo fractional q-difference equations with m-point boundary value problem and Riemann-Stieltjes integral α[x]:=∫₀¹~x(t)dΛ(t). By applying the fixed point theorem in cones, we investigate an existence of a unique positive solution depends on λ>0. We present some useful properties related to the Green's function for m-point boundary value problem.

Related

• Existence of positive solutions to boundary value problems of Caputo fractional difference equations
• Positive solutions of nonlocal fractional boundary value problem involving Riemann-Stieltjes integral condition
• Existence results for a class of Caputo type fractional differential equations with Riemann-Liouville fractional integrals and Caputo fractional derivatives in boundary conditions
• Sufficient Conditions for Existence of Positive Solutions for a Caputo Fractional Singular Boundary Value Problem
• On the existence and uniqueness of solution for fractional differential equations with nonlocal multi-point boundary conditions