Existence of Positive Solutions to Boundary Value Problems with Mixed Riemann–Liouville and Quantum Fractional Derivatives-Reference-Cited by-同舟云学术

Existence of Positive Solutions to Boundary Value Problems with Mixed Riemann–Liouville and Quantum Fractional Derivatives

Published:2023-09-15 Issue:9 Volume:7 Page:685
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Nyamoradi Nemat¹^ORCID,Ntouyas Sotiris K.²^ORCID,Tariboon Jessada³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran

2. Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

3. Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand

Abstract

In this paper, by using the Leggett–Williams fixed-point theorem, we study the existence of positive solutions to fractional differential equations with mixed Riemann–Liouville and quantum fractional derivatives. To prove the effectiveness of our main result, we investigate an interesting example.

Funder

the National Science, Research and Innovation Fund

King Mongkut’s University of Technology North Bangkok

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/9/685/pdf

Reference30 articles.

1. On q-functions and a certain difference operator;Jackson;Trans. Roy. Soc. Edinb.,1908

2. On q-definite integrals;Jackson;Quart. J. Pure Appl. Math.,1910

3. Some fractional q-integrals and q-derivatives;Proc. Edinb. Math. Soc.,1966

4. Certain fractional q-integrals and q-derivatives;Agarwal;Proc. Camb. Philos. Soc.,1969

5. Ernst, T. (2000). The History of q-Calculus and a New Method, Department of Mathematics, Uppsala University. UUDM Report 2000:16.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A new fixed point approach for solutions of a $ p $-Laplacian fractional $ q $-difference boundary value problem with an integral boundary condition;AIMS Mathematics;2024