Multi-strip fractional q-integral boundary value problems for nonlinear fractional q-difference equations-Reference-Cited by-同舟云学术

Multi-strip fractional q-integral boundary value problems for nonlinear fractional q-difference equations

Published:2014-07-23 Issue:1 Volume:2014 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Pongarm Nittaya,Asawasamrit Suphawat,Tariboon Jessada,Ntouyas Sotiris K

Abstract

Abstract In this article, we study the existence and uniqueness of solutions for multi-strip fractional q-integral boundary value problems of nonlinear fractional q-difference equations. By using the Banach contraction principle, Krasnoselskii’s fixed point theorem, Leray-Schauder’s nonlinear alternative and Leray-Schauder degree theory some interesting results are obtained. Some examples are presented to illustrate the results. MSC:34A08, 34B18, 39A13.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-1847-2014-193.pdf

Reference24 articles.

1. Jackson FH: q -Difference equations. Am. J. Math. 1970, 32: 305-314.

2. Kac V, Cheung P: Quantum Calculus. Springer, New York; 2002.

3. Al-Salam WA: Some fractional q -integrals and q -derivatives. Proc. Edinb. Math. Soc. 1966/1967, 15(2):135-140. 10.1017/S0013091500011469

4. Agarwal RP: Certain fractional q -integrals and q -derivatives. Proc. Camb. Philos. Soc. 1969, 66: 365-370. 10.1017/S0305004100045060

5. Ernst, T: The history of q-calculus and a new method. UUDM Report 2000:16, Department of Mathematics, Uppsala University (2000)

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