Published January 1, 2021 | Version v1
Publication Metadata-only

On sequential fractional Caputo $ (p, q) $-integrodifference equations via three-point fractional Riemann-Liouville $ (p, q) $-difference boundary condition

Creators

  • 1. King Mongkut's University of Technology North Bangkok
  • 2. Suan Dusit University

Description

In this paper, we aim to study the problem of a sequential fractional Caputo $ (p, q) $-integrodifference equation with three-point fractional Riemann-Liouville $ (p, q) $-difference boundary condition. We use some properties of $ (p, q) $-integral in this study and employ Banach fixed point theorems and Schauder's fixed point theorems to prove existence results of this problem.

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

Translated Description (Arabic)

في هذه الورقة، نهدف إلى دراسة مشكلة معادلة Caputo $ (p, q) $- Integrodifference المتسلسلة مع شرط حد Riemann - Liouville $ (p, q) $-difference ثلاثي النقاط. نستخدم بعض خصائص $( p, q )$- Integral في هذه الدراسة ونستخدم نظريات النقاط الثابتة لبنك ونظريات النقاط الثابتة لشودر لإثبات نتائج وجود هذه المشكلة.</ abstract>

Translated Description (French)

Dans cet article, nous visons à étudier le problème d'une équation fractionnaire séquentielle $ ( p, q) $ -integrodifference de Caputo avec une condition limite fractionnaire de Riemann-Liouville $ ( p, q) $ -differenceà trois points. Nous utilisons certaines propriétés de $ ( p, q) $ -integral dans cette étude et employons des théorèmes à virgule fixe de Banach et des théorèmes à virgule fixe de Schauder pour prouver les résultats d'existence de ce problème.

Translated Description (Spanish)

En este artículo, nuestro objetivo es estudiar el problema de una ecuación de Caputo $ (p, q) $ -integrodifference fraccionaria secuencial con una condición de límite de Riemann-Liouville $ (p, q) $ -diferencia fraccionaria de tres puntos. Utilizamos algunas propiedades de $ (p, q) $-integral en este estudio y empleamos los teoremas de punto fijo de Banach y los teoremas de punto fijo de Schauder para demostrar los resultados de existencia de este problema.

Additional details

Additional titles

Translated title (Arabic)
في معادلات Caputo $ (p, q )$- Integrodifference المتسلسلة الكسرية عبر شرط حد الاختلاف ثلاثي النقاط Riemann - Liouville $ (p, q )$
Translated title (French)
Sur les équations fractionnaires séquentielles Caputo $ ( p, q) $-integrodifférence via la condition limite fractionnaire à trois points de Riemann-Liouville $ ( p, q) $-différence
Translated title (Spanish)
En ecuaciones de Caputo $ (p, q) $ -integrodiferencia fraccionarias secuenciales a través de la condición de límite de diferencia de Riemann-Liouville $ (p, q) $ -integrodiferencia fraccionaria de tres puntos

Identifiers

Other
https://openalex.org/W3207447652
DOI
10.3934/math.2022044

Is supplement to
https://openalex.org/W4249977926 (Other)
https://openalex.org/W4244119288 (Other)
https://openalex.org/W3123504591 (Other)
https://openalex.org/W2985828462 (Other)
https://openalex.org/W2846516035 (Other)
https://openalex.org/W2585118952 (Other)
https://openalex.org/W2369544116 (Other)
https://openalex.org/W2354765335 (Other)
https://openalex.org/W2012141574 (Other)
https://openalex.org/W1691643469 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Thailand

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