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arXiv · 1909.10290

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

Ahmad Y. A. Salamooni·D. D. Pawar
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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 $\tildeα[x]:=\int_{0}^{1}~x(t)dΛ(t).$ 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.

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Ahmad Y. A. Salamooni, D. D. Pawar. 2019-09-23. Unique positive solution for nonlinear Caputo-type fractional $q$-difference equations with nonlocal and Stieltjes integral boundary conditions. https://arxiv.org/abs/1909.10290

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