An Initial Value Problem Involving Caputo-Hadamard Fractional Derivative: The Extremal Solutions and Stabilization | Zendy

Donal O’Regan | Zendy; Ngo Van Hoa | Zendy

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An Initial Value Problem Involving Caputo-Hadamard Fractional Derivative: The Extremal Solutions and Stabilization

Author(s) -

Donal O’Regan,

Ngo Van Hoa

Publication year - 2020

Publication title -

journal of advanced engineering and computation

Language(s) - English

Resource type - Journals

ISSN - 2588-123X

DOI - 10.25073/jaec.202042.283

Subject(s) - hadamard transform , mathematics , fractional calculus , stability (learning theory) , order (exchange) , license , initial value problem , mathematical analysis , computer science , finance , machine learning , economics , operating system

In this paper, the existence of extremal solutions of Caputo-Hadamard-type fractional di erential equations (CHFDEs) with order α ∈ (1, 2) is established by employing the method of lower and upper solutions. Moreover, su cient condition that ensure the stability of a class of CHFDE is also provided. Some examples are given to illustrate our main results.

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