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

Autor:	D. D. Pawar, Ahmad Y. A. Salamooni
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Physics Applied Mathematics Fixed-point theorem Riemann–Stieltjes integral Function (mathematics) Type (model theory) Lambda Nonlinear system 26A33 34B15 39A13 33D05 34B27 Mathematics - Analysis of PDEs FOS: Mathematics Boundary value problem Analysis Mathematical physics Analysis of PDEs (math.AP)
Popis:	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 $\tilde{\alpha}[x]:=\int_{0}^{1}~x(t)d\Lambda(t).$ By applying the fixed point theorem in cones, we investigate an existence of a unique positive solution depends on $\lambda>0.$ We present some useful properties related to the Green's function for $m-$point boundary value problem. Comment: 11 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c0d7ab6471297f2517d920c9055314b http://arxiv.org/abs/1909.10290 Zobrazit plný text záznamu