Araştırma Makalesi

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

Cilt: 8 Sayı: 1 3 Mayıs 2023
Turkish Journal of Science Kapak
Turkish Journal of Science
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EN

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

Kaynakça

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

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

3 Mayıs 2023

Gönderilme Tarihi

2 Şubat 2023

Kabul Tarihi

25 Şubat 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 8 Sayı: 1

IZ

https://izlik.org/JA43UL25HZ

Kaynak Göster

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, ve 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 (01 Mayıs 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, ve A. Kajounı, “Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space”, TJOS, c. 8, sy 1, ss. 24–36, May. 2023, [çevrimiçi]. Erişim adresi: 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 (01 Mayıs 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, vd. “Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space”. Turkish Journal of Science, c. 8, sy 1, Mayıs 2023, ss. 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]. 01 Mayıs 2023;8(1):24-36. Erişim adresi: https://izlik.org/JA43UL25HZ