Research Article

Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space

Volume: 8 Number: 1 May 3, 2023
Turkish Journal of Science Cover
Turkish Journal of Science
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Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space

Abstract

In this paper, by using the fixed point results $\alpha$-$\varphi$-Geraghty type mappings, existence-uniqueness results for solutions to differential equations with the generalized Caputo-Fabrizio derivative are investigated in $\lambda$-metric spaces. As an application, an illustrative example is given to show the applicability of our theoretical results.

Keywords

References

  1. Abbas, S., Benchohra, M., Graef, J.R., Henderson, J.: Implicit fractional differential and integral equations: existence and stability. De Gruyter (2018).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

May 3, 2023

Submission Date

February 2, 2023

Acceptance Date

February 25, 2023

Published in Issue

Year 2023 Volume: 8 Number: 1

IZ

https://izlik.org/JA43UL25HZ

Cite

RIS / Bibtex
APA
Chefnaj, N., Abdellah, T., Hilal, K., Mellıanı, S., & Kajounı, A. (2023). Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space. Turkish Journal of Science, 8(1), 24-36. https://izlik.org/JA43UL25HZ
AMA
1.Chefnaj N, Abdellah T, Hilal K, Mellıanı S, Kajounı A. Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space. TJOS. 2023;8(1):24-36. https://izlik.org/JA43UL25HZ
Chicago
Chefnaj, Najat, Taqbibt Abdellah, Khalid Hilal, Said Mellıanı, and Ahmed Kajounı. 2023. “Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space”. Turkish Journal of Science 8 (1): 24-36. https://izlik.org/JA43UL25HZ.
EndNote
Chefnaj N, Abdellah T, Hilal K, Mellıanı S, Kajounı A (May 1, 2023) Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space. Turkish Journal of Science 8 1 24–36.
IEEE
[1]N. Chefnaj, T. Abdellah, K. Hilal, S. Mellıanı, and A. Kajounı, “Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space”, TJOS, vol. 8, no. 1, pp. 24–36, May 2023, [Online]. Available: https://izlik.org/JA43UL25HZ
ISNAD
Chefnaj, Najat - Abdellah, Taqbibt - Hilal, Khalid - Mellıanı, Said - Kajounı, Ahmed. “Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space”. Turkish Journal of Science 8/1 (May 1, 2023): 24-36. https://izlik.org/JA43UL25HZ.
JAMA
1.Chefnaj N, Abdellah T, Hilal K, Mellıanı S, Kajounı A. Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space. TJOS. 2023;8:24–36.
MLA
Chefnaj, Najat, et al. “Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space”. Turkish Journal of Science, vol. 8, no. 1, May 2023, pp. 24-36, https://izlik.org/JA43UL25HZ.
Vancouver
1.Najat Chefnaj, Taqbibt Abdellah, Khalid Hilal, Said Mellıanı, Ahmed Kajounı. Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space. TJOS [Internet]. 2023 May 1;8(1):24-36. Available from: https://izlik.org/JA43UL25HZ