Published September 29, 2021 | Version v1
Publication Open

Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with $$\psi $$-Caputo derivative

Creators

  • 1. Hassiba Benbouali University of Chlef
  • 2. Université Djilali de Sidi Bel Abbès
  • 3. University of Tennessee at Chattanooga

Description

Abstract The aim of this paper is to study the existence and uniqueness of periodic solutions for a certain type of nonlinear fractional pantograph differential equation with a $$\psi $$ ψ -Caputo derivative. The proofs are based on the coincidence degree theory of Mawhin. To show the efficiency of the results, some illustrative examples are included.

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

Translated Description (Arabic)

الملخص الهدف من هذه الورقة هو دراسة وجود وتفرد الحلول الدورية لنوع معين من المعادلة التفاضلية الكسرية غير الخطية مع $$\ psi $$- Caputo derivative. وتستند البراهين على نظرية درجة الصدفة في موهين. لإظهار كفاءة النتائج، تم تضمين بعض الأمثلة التوضيحية.

Translated Description (French)

Résumé Le but de cet article est d'étudier l'existence et l'unicité des solutions périodiques pour un certain type d'équation différentielle du pantographe fractionnaire non linéaire avec une dérivée $ $\psi $$ ψ -Caputo. Les preuves sont basées sur la théorie des degrés de coïncidence de Mawhin. Pour montrer l'efficacité des résultats, quelques exemples illustratifs sont inclus.

Translated Description (Spanish)

Resumen El objetivo de este artículo es estudiar la existencia y singularidad de soluciones periódicas para un cierto tipo de ecuación diferencial de pantógrafo fraccional no lineal con una derivada de $$\psi $$ ψ -Caputo. Las pruebas se basan en la teoría del grado de coincidencia de Mawhin. Para mostrar la eficiencia de los resultados, se incluyen algunos ejemplos ilustrativos.

Files

s40065-021-00343-z.pdf.pdf

Files (337.6 kB)

⚠️ Please wait a few minutes before your translated files are ready ⚠️ Note: Some files might be protected thus translations might not work.
Name Size Download all
md5:1579e092ff847a9acf84608295565e6a
337.6 kB
Preview Download

Additional details

Additional titles

Translated title (Arabic)
وجود وتفرد الحلول الدورية لبعض المعادلات التفاضلية الكسرية غير الخطية مع $$\ psi $$-Caputo derivative
Translated title (French)
Existence et unicité de solutions périodiques pour certaines équations différentielles de pantographes fractionnaires non linéaires avec $$\psi $$ -Dérivée de Caputo
Translated title (Spanish)
Existencia y unicidad de soluciones periódicas para algunas ecuaciones diferenciales de pantógrafo fraccionario no lineal con $$\psi $$-Caputo derivada

Identifiers

Other
https://openalex.org/W3204451659
DOI
10.1007/s40065-021-00343-z

Is supplement to
https://openalex.org/W4387011711 (Other)
https://openalex.org/W4252833549 (Other)
https://openalex.org/W2573375108 (Other)
https://openalex.org/W2497793302 (Other)
https://openalex.org/W2379657325 (Other)
https://openalex.org/W2378529747 (Other)
https://openalex.org/W2372731345 (Other)
https://openalex.org/W2360526382 (Other)
https://openalex.org/W2136457064 (Other)
https://openalex.org/W2057677727 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Algeria

References

  • https://openalex.org/W1530054495
  • https://openalex.org/W1556248905
  • https://openalex.org/W1998736038
  • https://openalex.org/W2089773520
  • https://openalex.org/W2099721887
  • https://openalex.org/W2299647821
  • https://openalex.org/W2412352375
  • https://openalex.org/W2520410115
  • https://openalex.org/W2564888243
  • https://openalex.org/W3097824997
  • https://openalex.org/W355440283
  • https://openalex.org/W4214540269
  • https://openalex.org/W4236398741
  • https://openalex.org/W4301223505