Published November 13, 2021 | Version v1
Publication Open

Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative

Creators

  • 1. Yarmouk University
  • 2. United Arab Emirates University

Description

In this paper, we discuss the solvability of a class of multiterm initial value problems involving the Caputo–Fabrizio fractional derivative via the Laplace transform. We derive necessary and sufficient conditions to guarantee the existence of solutions to the problem. We also obtain the solutions in closed forms. We present two examples to illustrate the validity of the obtained results.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

في هذه الورقة، نناقش قابلية حل فئة من مسائل القيمة الأولية متعددة المصطلحات التي تتضمن المشتق الكسري Caputo - Fabrizio عبر تحويل لابلاس. نستمد الشروط اللازمة والكافية لضمان وجود حلول للمشكلة. كما نحصل على الحلول في أشكال مغلقة. نقدم مثالين لتوضيح صحة النتائج التي تم الحصول عليها.

Translated Description (French)

Dans cet article, nous discutons de la solvabilité d'une classe de problèmes de valeur initiale multiterm impliquant la dérivée fractionnaire de Caputo-Fabrizio via la transformée de Laplace. Nous en tirons les conditions nécessaires et suffisantes pour garantir l'existence de solutions au problème. Nous obtenons également les solutions sous forme fermée. Nous présentons deux exemples pour illustrer la validité des résultats obtenus.

Translated Description (Spanish)

En este documento, discutimos la resolubilidad de una clase de problemas de valor inicial multitérmino que involucran la derivada fraccional de Caputo–Fabrizio a través de la transformada de Laplace. Derivamos condiciones necesarias y suficientes para garantizar la existencia de soluciones al problema. También obtenemos las soluciones en formas cerradas. Presentamos dos ejemplos para ilustrar la validez de los resultados obtenidos.

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Additional details

Additional titles

Translated title (Arabic)
تحليل مشاكل القيمة الأولية متعددة المصطلحات مع مشتق Caputo - Fabrizio
Translated title (French)
Analyse des problèmes de valeur initiale multiterme avec le dérivé Caputo-Fabrizio
Translated title (Spanish)
Análisis de problemas de valor inicial multitérmino con la derivada de Caputo-Fabrizio

Identifiers

Other
https://openalex.org/W3213381682
DOI
10.1155/2021/8231828

Is supplement to
https://openalex.org/W4317627639 (Other)
https://openalex.org/W4313396013 (Other)
https://openalex.org/W3148881609 (Other)
https://openalex.org/W3049300385 (Other)
https://openalex.org/W3024206168 (Other)
https://openalex.org/W3005643231 (Other)
https://openalex.org/W2416906960 (Other)
https://openalex.org/W2089892488 (Other)
https://openalex.org/W2082446734 (Other)
https://openalex.org/W2050580331 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Jordan

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