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Dergiler / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2023 / Cilt: 13 - Sayı: 2

Existence and stability analysis to the sequential coupled hybrid system of fractional differential equations with two different fractional derivatives

Prof. Dr. Jehad Alzabut
Mohamed HOUAS
Mahammad KHUDDUSH
Sayfa
224–235
Yayın Tarihi
2023-12-17
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, an example is provided to check the validity of our obtained results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we discussed the existence, uniqueness and Ulam-type stability of solutions for sequential coupled hybrid fractional differential equations with two derivatives.
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Temel Bulgular & Veri:The uniqueness of solutions is established by means of Banach's contraction mapping principle, while the existence of solutions is derived from Leray-Schauder's alternative fixed point theorem.
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Sonuç & Katkı:Finally, an example is provided to check the validity of our obtained results.
🔬Tür:Makale
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we discussed the existence, uniqueness and Ulam-type stability of solutions for sequential coupled hybrid fractional differential equations with two derivatives. The uniqueness of solutions is established by means of Banach's contraction mapping principle, while the existence of solutions is derived from Leray-Schauder's alternative fixed point theorem. Further, the Ulam-type stability of the addressed problem is studied. Finally, an example is provided to check the validity of our obtained results.

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Bu Makaleye Atıf Yap

Alzabut, P. D. J., HOUAS, M., KHUDDUSH, M. (2023). Existence and stability analysis to the sequential coupled hybrid system of fractional differential equations with two different fractional derivatives. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 13 - Sayı: 2, 224–235. https://doi.org/10.11121/ijocta.2023.1278

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Kaynakça (12)

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