Published September 5, 2022 | Version v1
Publication Metadata-only

ON EXISTENCE AND STABILITY RESULTS FOR PANTOGRAPH FRACTIONAL BOUNDARY VALUE PROBLEMS

Creators

  • 1. Tafila Technical University
  • 2. Al Ain University of Science and Technology
  • 3. Saidu Teaching Hospital
  • 4. University of Swat
  • 5. Prince Sultan University
  • 6. University of Malakand
  • 7. China Medical University

Description

In this paper, we investigated some essential provisions for the existence and stability of the solution to integral boundary value problems with proportional delay of fractional order Atangana–Baleanu–Caputo (ABC) derivative. By the guidance of fixed point theory, we acquire the deserted results. Moreover, different types of Ullam–Hyers stabilities are investigated for the proposed problem. We also provide an appropriate example for illustrative purposes.

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

Translated Description (Arabic)

في هذه الورقة، قمنا بالتحقيق في بعض الأحكام الأساسية لوجود واستقرار الحل لمشاكل قيمة الحدود المتكاملة مع التأخير النسبي لمشتقات الترتيب الكسري Atangana - Baleanu - Caputo (ABC). بتوجيه من نظرية النقطة الثابتة، نحصل على النتائج المهجورة. علاوة على ذلك، يتم التحقيق في أنواع مختلفة من ثباتات أولام- هايرز للمشكلة المقترحة. كما نقدم مثالًا مناسبًا للأغراض التوضيحية.

Translated Description (English)

In this paper, we investigated some essential provisions for the existence and stability of the solution to integral boundary value problems with proportional delay of fractional order Atangana–Baleanu–Caputo (ABC) derivatives. By the guidance of fixed point theory, we acquire the deserted results. Moreover, different types of Ullam–Hyers stabilities are investigated for the proposed problem. We also provide an appropriate example for illustrative purposes.

Translated Description (French)

In this paper, we investigated some essential provisions for the existence and stability of the solution to integral boundary value problems with proporal delay of fractional order Atangana–Baleanu–Caputo (ABC) derivative. En suivant la ligne directrice de la théorie des points fixes, nous obtenons les résultats attendus. Moreover, different types of Ullam–Hyers stabilities are investigated for the proposed problem. We also provide an appropriate example for illustrative purposes.

Translated Description (Spanish)

In this paper, we investigated some essential provisions for the existence and stability of the solution to integral boundary value problems with proportional delay of fractional order Atangana–Baleanu–Caputo (ABC) derivative. By the guidance of fixed point theory, we acquire the deserted results. Moreover, different types of Ullam–Hyers stabilities are investigated for the proposed problem. We also provide an appropriate example for illustrative purposes.

Additional details

Additional titles

Translated title (Arabic)
على نتائج الوجود والاستقرار لمشاكل قيمة الحدود الكسرية لـ PANTOGRAPH
Translated title (English)
ON EXISTENCE AND STABILITY RESULTS FOR PANTOGRAPH FRACTIONAL BOUNDARY VALUE PROBLEMS
Translated title (French)
ON EXISTENCE AND STABILITY RESULTS FOR PANTOGRAPH FRACTIONAL BOUNDARY VALUE PROBLEMS
Translated title (Spanish)
ON EXISTENCE AND STABILITY RESULTS FOR PANTÓGRAFO FRACTIONAL BOUNDARY VALUE PROBLEMS

Identifiers

Other
https://openalex.org/W4294703563
DOI
10.1142/s0218348x22402319

Is supplement to
https://openalex.org/W4361766938 (Other)
https://openalex.org/W4312762645 (Other)
https://openalex.org/W4293526182 (Other)
https://openalex.org/W4282970793 (Other)
https://openalex.org/W3196870860 (Other)
https://openalex.org/W3150584883 (Other)
https://openalex.org/W2359480735 (Other)
https://openalex.org/W2325471356 (Other)
https://openalex.org/W2110318194 (Other)
https://openalex.org/W2028690217 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Jordan

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