Article
Boundary Value Problems for Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in λ-Metric Space
Authors
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Abstract
In this paper, by using the fixed point results of α-φ-Geraghty type mappings, the existence and uniqueness results for solutions to differential equations involving the generalized Caputo-Fabrizio derivative are investigated in λ-metric spaces. As application, an illustrative example is given to show the applicability of our theoretical results.
Keywords
Generalisation of Caputo-Fabrizio fractional derivatives, fractional differential equation, α-φ-Geraghty type mappings.
Citation
Chefnaj, N., Taqbibt, A., Hilal, K., Melliani, S., & Kajouni, A. (2023). Boundary value problems for differential equations involving the generalized caputo-fabrizio fractional derivative in λ-metric space. Turkish Journal of Science, 8(1), 24–36. https://doi.org/10.66833/TJOS-2023-0004
N. Chefnaj, A. Taqbibt, K. Hilal, S. Melliani and A. Kajouni, “Boundary value problems for differential equations involving the generalized caputo-fabrizio fractional derivative in λ-metric space,” Turkish Journal of Science, vol. 8, no. 1, pp. 24–36, 2023, doi: 10.66833/TJOS-2023-0004.
Chefnaj N, Taqbibt A, Hilal K, Melliani S, Kajouni A. Boundary value problems for differential equations involving the generalized caputo-fabrizio fractional derivative in λ-metric space. Turkish Journal of Science. 2023;8(1):24–36. doi:10.66833/TJOS-2023-0004.
Chefnaj, N., Taqbibt, A., Hilal, K., Melliani, S. and Kajouni, A. (2023), ‘Boundary value problems for differential equations involving the generalized caputo-fabrizio fractional derivative in λ-metric space’, Turkish Journal of Science, 8(1), pp. 24–36. Available at: https://doi.org/10.66833/TJOS-2023-0004.
Chefnaj, Najat, et al. “Boundary Value Problems for Differential Equations Involving the Generalized Caputo-fabrizio Fractional Derivative in Λ-metric Space.” Turkish Journal of Science, vol. 8, no. 1, 2023, pp. 24–36. https://doi.org/10.66833/TJOS-2023-0004.
Chefnaj, Najat, Abdellah Taqbibt, Khalid Hilal, Said Melliani, and Ahmed Kajouni. “Boundary Value Problems for Differential Equations Involving the Generalized Caputo-fabrizio Fractional Derivative in Λ-metric Space.” Turkish Journal of Science 8, no. 1 (2023): 24–36. https://doi.org/10.66833/TJOS-2023-0004.
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Published by: Engineering Journals
