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Year 2023, Volume: 8 Issue: 1, 24 - 36, 03.05.2023

Najat Chefnaj , Taqbibt Abdellah , Khalid Hilal , Said Mellıanı , Ahmed Kajounı

Abstract

Keywords

Generalisation of Caputo-Fabrizio fractional Derivatives Fractional differential equation $\alpha$-$\varphi$-Geraghty type mappings $\lambda$-metric spaces fixed point.

References

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

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

Year 2023, Volume: 8 Issue: 1, 24 - 36, 03.05.2023

Najat Chefnaj , Taqbibt Abdellah , Khalid Hilal , Said Mellıanı , Ahmed Kajounı

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

Generalisation of Caputo-Fabrizio fractional Derivatives Fractional differential equation $\alpha$-$\varphi$-Geraghty type mappings $\lambda$-metric spaces fixed point.

References

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

Details

Primary Language English
Journal Section Volume VIII Issue I
Authors

Najat Chefnaj 0000-0003-1153-4932

Taqbibt Abdellah 0000-0001-5650-1988

Khalid Hilal 0000-0002-0806-2623

Said Mellıanı 0000-0002-5150-1185

Ahmed Kajounı 0000-0001-8484-6107

Publication Date May 3, 2023
Published in Issue Year 2023 Volume: 8 Issue: 1

Cite

APA Chefnaj, N., Abdellah, T., Hilal, K., Mellıanı, S., et al. (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.
AMA 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. May 2023;8(1):24-36.
Chicago Chefnaj, Najat, Taqbibt Abdellah, Khalid Hilal, Said Mellıanı, and Ahmed Kajounı. “Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space”. Turkish Journal of Science 8, no. 1 (May 2023): 24-36.
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 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, 2023.
ISNAD 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 8/1 (May 2023), 24-36.
JAMA 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, 2023, pp. 24-36.
Vancouver 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.
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