Research Article

Existence of solution for a systems of coupled fractional boundary value problem

Volume: 2 Number: 1 June 30, 2020
EN

Existence of solution for a systems of coupled fractional boundary value problem

Abstract

This paper deals with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions. The existence results are obtained by using Leray-Shauder nonlinear alternative and Banach contraction principle. An illustrative example is presented at the end of the paper to illustrate the validity of our results.

Keywords

References

  1. [1] C. R. Adamas, On the linear ordinary q-difference equation, Ann. Math., 30 (1928), 195-205.
  2. [2] O. Agrawal, Some generalized fractional calculus operators and their applications in integralequations, Fract. Cal. Appl. Anal., 15 (2012), 700-711.
  3. [3] R. P. Agarwal, D. Baleanu, V. Hedayati, Sh. Rezapour, Two fractional derivative inclusion problems via integral boundary condition, Appl. Math. Comput., 257 (2015), 205-212.
  4. [4] N. Bouteraa and S. Benaicha, Existence of solutions for three-point boundary value problem for nonlinear fractional equations, Analele Universitatii Oradia Fasc. Mathematica, Tom XXIV (2017), Issue No. 2, 109-119.
  5. [5] N. Bouteraa, S. Benaicha and H. Djourdem, Positive solutions for nonlinear fractional equation with nonlocal boundary conditions, Universal journal of Mathematics and Applications. 1 (1) (2018), 39-45.
  6. [6] N. Bouteraa and S. Benaicha, The uniqueness of positive solution for higher-order nonlinear fractional differential equation with nonlocal boundary conditions, Advances in the Theory of Nonlinear and it Application, 2(2018) No 2, 74-84.
  7. [7] N. Bouteraa and S. Benaicha, The uniqueness of positive solution for nonlinear fractional differential equation with nonlocal boundary conditions, Analele Universitatii Oradia Fasc. Mathematica, Tom XXIV (2018), Issue No. 2, 53-65. 19
  8. [8] N. Bouteraa, S. Benaicha, Existence of solution for nonlocal boundary value problem for Caputo nonlinear fractional inclusion, Journal of Mathematical Sciences and Modeling. vol.1 (1) (2018), 45-55.

Details

Primary Language

English

Subjects

Software Engineering (Other)

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

September 3, 2019

Acceptance Date

June 26, 2020

Published in Issue

Year 2020 Volume: 2 Number: 1

APA
Habib, D. (2020). Existence of solution for a systems of coupled fractional boundary value problem. Proceedings of International Mathematical Sciences, 2(1), 48-59. https://izlik.org/JA78HG94JX
AMA
1.Habib D. Existence of solution for a systems of coupled fractional boundary value problem. PIMS. 2020;2(1):48-59. https://izlik.org/JA78HG94JX
Chicago
Habib, Djourdem. 2020. “Existence of Solution for a Systems of Coupled Fractional Boundary Value Problem”. Proceedings of International Mathematical Sciences 2 (1): 48-59. https://izlik.org/JA78HG94JX.
EndNote
Habib D (June 1, 2020) Existence of solution for a systems of coupled fractional boundary value problem. Proceedings of International Mathematical Sciences 2 1 48–59.
IEEE
[1]D. Habib, “Existence of solution for a systems of coupled fractional boundary value problem”, PIMS, vol. 2, no. 1, pp. 48–59, June 2020, [Online]. Available: https://izlik.org/JA78HG94JX
ISNAD
Habib, Djourdem. “Existence of Solution for a Systems of Coupled Fractional Boundary Value Problem”. Proceedings of International Mathematical Sciences 2/1 (June 1, 2020): 48-59. https://izlik.org/JA78HG94JX.
JAMA
1.Habib D. Existence of solution for a systems of coupled fractional boundary value problem. PIMS. 2020;2:48–59.
MLA
Habib, Djourdem. “Existence of Solution for a Systems of Coupled Fractional Boundary Value Problem”. Proceedings of International Mathematical Sciences, vol. 2, no. 1, June 2020, pp. 48-59, https://izlik.org/JA78HG94JX.
Vancouver
1.Djourdem Habib. Existence of solution for a systems of coupled fractional boundary value problem. PIMS [Internet]. 2020 Jun. 1;2(1):48-59. Available from: https://izlik.org/JA78HG94JX
Creative Commons License
The published articles in PIMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.