Involvement of three successive fractional derivatives in a system of pantograph equations and studying the existence solution and MLU stability

• Autorzy: Hammad Hasanen A. , Işık Hüseyin , Aydi Hassen , De la Sen Manuel

Identyfikatory

DOI

10.1515/dema-2024-0035

• Języki publikacji: EN

Abstrakty

EN

Developing a model of fractional differential systems and studying the existence and stability of a solution is considebly one of the most important topics in the field of analysis. Therefore, this manuscript was dedicated to deriving a new type of fractional system that arises from the combination of three sequential fractional derivatives with fractional pantograph equations. Also, the fixed-point technique was used to evaluate the existence and uniqueness of solutions to the supposed hybrid model. Furthermore, stability results for the intended system in the sense of the Mittag-Leffler-Ulam have been investigated. Ultimately, an illustrative example has been highlighted in order to reinforce the theoretical results and suggest applications for this article.

Słowa kluczowe

EN

Gronwall’s inequalities; fixed-point technique; fractional derivatives; stability analysis; evaluation metrics

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240035
• Opis fizyczny: Bibliogr. 52 poz.

Twórcy

autor

Hammad Hasanen A.

• Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
• Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

autor

Işık Hüseyin

• Department of Engineering Science, Faculty of Engineering and Natural Sciences, Bandırma Onyedi Eylül University, Bandírma 10200, Turkey
• Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

autor

Aydi Hassen

• Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, Sousse 4000, Tunisia
• Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

autor

De la Sen Manuel

• Department of Electricity and Electronics, Faculty of Science and Technology, Institute of Research and Development of Processes, University of the Basque Country, 48940-Leioa (Bizkaia), Spain

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2026).