Published January 1, 2018
| Version v1
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Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations
- 1. King Mongkut's University of Technology North Bangkok
- 2. Suan Dusit University
Description
We consider a hybrid fractional sum-difference initial value problem and a hybrid fractional sequential sum-difference initial value problem. The existence results of these two problems are proved by using the hybrid fixed point theorem for three operators in a Banach algebra and the generalized Krasnoselskii's fixed point theorem, respectively.
Translated Descriptions
⚠️
This is an automatic machine translation with an accuracy of 90-95%
Translated Description (Arabic)
نحن نعتبر مسألة القيمة الأولية لمجموع الفرق الكسري المختلط ومسألة القيمة الأولية لمجموع الفرق الكسري المتسلسل المختلط. يتم إثبات نتائج وجود هاتين المسألتين باستخدام نظرية النقطة الثابتة الهجينة لثلاثة مشغلين في جبر بنك ونظرية النقطة الثابتة لكراسنوسيلسكي المعممة، على التوالي.Translated Description (French)
Nous considérons un problème de valeur initiale de différence de somme fractionnaire hybride et un problème de valeur initiale de différence de somme séquentielle fractionnaire hybride. Les résultats d'existence de ces deux problèmes sont prouvés en utilisant le théorème du point fixe hybride pour trois opérateurs dans une algèbre de Banach et le théorème du point fixe de Krasnoselskii généralisé, respectivement.Translated Description (Spanish)
Consideramos un problema híbrido de valor inicial de diferencia de suma fraccionaria y un problema híbrido de valor inicial de diferencia de suma secuencial fraccionaria. Los resultados de la existencia de estos dos problemas se demuestran utilizando el teorema del punto fijo híbrido para tres operadores en un álgebra de Banach y el teorema del punto fijo de Krasnoselskii generalizado, respectivamente.Files
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Additional details
Additional titles
- Translated title (Arabic)
- نتائج وجود مسائل القيمة الأولية لمعادلات مجموع الفرق الكسرية الهجينة
- Translated title (French)
- Résultats d'existence des problèmes de valeur initiale pour les équations de somme-différence fractionnaires hybrides
- Translated title (Spanish)
- Resultados de existencia de problemas de valor inicial para ecuaciones híbridas de suma-diferencia fraccionaria
Identifiers
- Other
- https://openalex.org/W2785853863
- DOI
- 10.1155/2018/5268528
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