Published January 1, 2022 | Version v1
Publication Metadata-only

New approach on controllability of Hilfer fractional derivatives with nondense domain

Creators

  • 1. Prince Sattam Bin Abdulaziz University
  • 2. Çankaya University
  • 3. Institute of Space Science
  • 4. China Medical University Hospital
  • 5. China Medical University
  • 6. University of Rajasthan

Description

This work picturizes the results on the controllability of the nondense Hilfer neutral fractional derivative (HNFD). The uniqueness and controllability of HNFD are discussed with Mönch theorem and Banach contraction technique. In addition, a numerical approximation is given to deal with different criteria of our results.

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

Translated Description (Arabic)

يصور هذا العمل النتائج المتعلقة بإمكانية التحكم في مشتق هيلفر الكسري المحايد غير المكثف (HNFD). تتم مناقشة تفرد وإمكانية التحكم في HNFD مع نظرية مونش وتقنية تقلص بنك. بالإضافة إلى ذلك، يتم إعطاء تقريب رقمي للتعامل مع معايير مختلفة لنتائجنا.</ ABSTRACT>

Translated Description (French)

Ce travail illustre les résultats sur la contrôlabilité de la dérivée fractionnaire neutre de Hilfer nondense (HNFD). L'unicité et la contrôlabilité du HNFD sont discutées avec le théorème de Mönch et la technique de contraction de Banach. De plus, une approximation numérique est donnée pour traiter différents critères de nos résultats.

Translated Description (Spanish)

Este trabajo representa los resultados sobre la controlabilidad del derivado fraccional neutro de Hilfer no denso (HNFD). La singularidad y controlabilidad de HNFD se discuten con el teorema de Mönch y la técnica de contracción de Banach. Además, se da una aproximación numérica para tratar diferentes criterios de nuestros resultados.

Additional details

Additional titles

Translated title (Arabic)
نهج جديد بشأن إمكانية التحكم في مشتقات هيلفر الكسرية ذات النطاق غير الكثيف
Translated title (French)
Nouvelle approche sur la contrôlabilité des dérivés fractionnaires de Hilfer avec domaine nondense
Translated title (Spanish)
Nuevo enfoque sobre la controlabilidad de las derivadas fraccionarias de Hilfer con dominio no denso

Identifiers

Other
https://openalex.org/W4221024619
DOI
10.3934/math.2022561

Is supplement to
https://openalex.org/W3201620972 (Other)
https://openalex.org/W1496421768 (Other)
https://openalex.org/W2332386680 (Other)
https://openalex.org/W2003779889 (Other)
https://openalex.org/W4205698120 (Other)
https://openalex.org/W4239246781 (Other)
https://openalex.org/W2542825942 (Other)
https://openalex.org/W2036697162 (Other)
https://openalex.org/W2248621902 (Other)
https://openalex.org/W2561315646 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Turkey

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