Nonlinear Fractional q-Difference Equation with Fractional Hadamard and Quantum Integral Nonlocal Conditions

Joint Authors

Wongcharoen, Athasit
Thatsatian, Arisa
Ntouyas, Sotiris K.
Tariboon, Jessada

Source

Journal of Function Spaces

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-10-05

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

In this paper, we establish existence and uniqueness results for a boundary value problem consisting by a nonlinear fractional q-difference equation subject to a new type of boundary condition, combining the fractional Hadamard and quantum integrals.

Our analysis is based on Banach’s fixed point theorem, a fixed point theorem for nonlinear contractions, Krasnosel’ski i˘’s fixed point theorem, and Leray-Schauder nonlinear alternative.

Examples are given to illustrate our results.

American Psychological Association (APA)

Wongcharoen, Athasit& Thatsatian, Arisa& Ntouyas, Sotiris K.& Tariboon, Jessada. 2020. Nonlinear Fractional q-Difference Equation with Fractional Hadamard and Quantum Integral Nonlocal Conditions. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1186083

Modern Language Association (MLA)

Wongcharoen, Athasit…[et al.]. Nonlinear Fractional q-Difference Equation with Fractional Hadamard and Quantum Integral Nonlocal Conditions. Journal of Function Spaces No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1186083

American Medical Association (AMA)

Wongcharoen, Athasit& Thatsatian, Arisa& Ntouyas, Sotiris K.& Tariboon, Jessada. Nonlinear Fractional q-Difference Equation with Fractional Hadamard and Quantum Integral Nonlocal Conditions. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1186083

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1186083