Published March 27, 2019 | Version v1
Publication Metadata-only

Fractional hybrid differential equations with three-point boundary hybrid conditions

Creators

  • 1. University of Ghardaia
  • 2. Université Djilali de Sidi Bel Abbès
  • 3. Xiangtan University

Description

In this paper, we study the existence of solutions for hybrid fractional differential equations involving fractional Caputo derivative of order $1 < \alpha\leq 2$ . Our results rely on a hybrid fixed point theorem for a sum of three operators due to Dhage. An example is provided to illustrate the theory.

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

Translated Description (Arabic)

في هذه الورقة، ندرس وجود حلول للمعادلات التفاضلية الكسرية الهجينة التي تنطوي على مشتق Caputo الكسري من الترتيب $ 1 <\ alpha\leq 2 $ . تعتمد نتائجنا على نظرية النقطة الثابتة الهجينة لمجموع ثلاثة عوامل بسبب Dhage. يتم تقديم مثال لتوضيح النظرية.

Translated Description (French)

Dans cet article, nous étudions l'existence de solutions pour des équations différentielles fractionnaires hybrides impliquant une dérivée de Caputo fractionnaire d'ordre $ 1 < \alpha\leq 2 $ . Nos résultats reposent sur un théorème du point fixe hybride pour une somme de trois opérateurs due à Dhage. Un exemple est fourni pour illustrer la théorie.

Translated Description (Spanish)

En este artículo, estudiamos la existencia de soluciones para ecuaciones diferenciales fraccionarias híbridas que involucran la derivada fraccionaria de Caputo de orden $ 1 < \alpha\leq 2 $ . Nuestros resultados se basan en un teorema de punto fijo híbrido para una suma de tres operadores debido a Dhage. Se proporciona un ejemplo para ilustrar la teoría.

Additional details

Additional titles

Translated title (Arabic)
المعادلات التفاضلية الهجينة الكسرية ذات الشروط الهجينة ثلاثية النقاط
Translated title (French)
Équations différentielles hybrides fractionnaires avec conditions hybrides aux limites à trois points
Translated title (Spanish)
Ecuaciones diferenciales híbridas fraccionarias con condiciones híbridas de límite de tres puntos

Identifiers

Other
https://openalex.org/W2936186975
DOI
10.1186/s13662-019-2067-7

Is supplement to
https://openalex.org/W4313560640 (Other)
https://openalex.org/W4246784705 (Other)
https://openalex.org/W3164276969 (Other)
https://openalex.org/W3049300385 (Other)
https://openalex.org/W2999616507 (Other)
https://openalex.org/W2416906960 (Other)
https://openalex.org/W2253351617 (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
Algeria

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