Applications of Fixed Point Theory to Investigate a System of Fractional Order Differential Equations

Zareen A. Khan; Israr Ahmad; Kamal Shah

doi:10.1155/2021/1399764

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Applications of Fixed Point Theory to Investigate a System of Fractional Order Differential Equations

Journal article

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Applications of Fixed Point Theory to Investigate a System of Fractional Order Differential Equations

Zareen A. Khan, Israr Ahmad and Kamal Shah

Journal of function spaces, Vol.2021, pp.1-7

2021

DOI: https://doi.org/10.1155/2021/1399764

Abstract

We investigate a nonlinear system of pantograph-type fractional differential equations (FDEs) via Caputo-Hadamard derivative (CHD). We establish the conditions for existence theory and Ulam-Hyers-type stability for the underlying boundary value system (BVS) of FDE. We use Krasnoselskii’s and Banach’s fixed point theorems to obtain the desired results for the existence of solution. Stability is an important aspect from a numerical point of view we investigate here. To justify the main work, relevant examples are provided.

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Title: Applications of Fixed Point Theory to Investigate a System of Fractional Order Differential Equations
Creators - without role: Zareen A. Khan - Princess Nourah bint Abdulrahman University
Israr Ahmad - University of Malakand
Kamal Shah - Department of MathematicsUniversity of MalakandChakdara Dir (Lower)Khyber PakhtunkhawaPakistanuom.edu.pk
Contributors - without role: Nawab Hussain
Publication Details: Journal of function spaces, Vol.2021, pp.1-7
Publisher: Hindawi
Grant note: 42-FTTJ-69 / Princess Nourah Bint Abdulrahman University
Identifiers: 9926727008331
Academic Unit: Prince Sultan University; King Abdulaziz University; Princess Nourah bint Abdulrahman University
Language: English
Resource Type: Journal article