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Existence and stability analysis of nth order multi term fractional delay differential equation

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  • ur Rahman, Ghaus
  • Agarwal, Ravi P.
  • Ahmad, Dildar

Abstract

Study of fractional differential equations equipped with multi term operator have been carried out in the recent years. Several novel models need to be formulated. Therefore, keeping in view the importance of multi term differential operators in the study of differential equations, we propose a model of nth order multi term fractional delay differential equation (MTFDDE). We will provide results related to solution’s existence, and its uniqueness as well as will explore results related to four different kinds of functional stability. To get the results under consideration, standard fixed point theorems will be used. Moreover, functional stability results are obtained successfully and at last data dependence results are elaborated with the help of different results.

Suggested Citation

  • ur Rahman, Ghaus & Agarwal, Ravi P. & Ahmad, Dildar, 2022. "Existence and stability analysis of nth order multi term fractional delay differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010638
    DOI: 10.1016/j.chaos.2021.111709
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    Cited by:

    1. Ravi P. Agarwal & Snezhana Hristova & Donal O’Regan, 2024. "Ulam Stability for Boundary Value Problems of Differential Equations—Main Misunderstandings and How to Avoid Them," Mathematics, MDPI, vol. 12(11), pages 1-22, May.

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