A Study of Fractional Differential Equation with a Positive Constant Coefficient via Hilfer Fractional Derivative

Ngo Van Hoa; Ho Vu

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A Study of Fractional Differential Equation with a Positive Constant Coefficient via Hilfer Fractional Derivative

机译：A Study of Fractional Differential Equation with a Positive Constant Coefficient via Hilfer Fractional Derivative

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The aim of the paper is to consider the existence and uniqueness of solution of the fractional differential equation with a positive constant coefficient under Hilfer fractional derivative by using the fixed-point theorem. We also prove the bounded and continuous dependence on the initial conditions of solution. Besides, Hyers-Ulam stability and Hyers-Ulam-Rassias stability are discussed. Finally, we provide an example to demonstrate our main results.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2020年第28期|2749138.1-2749138.10|共10页
作者
Ngo Van Hoa; Ho Vu;
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Ton Duc ang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh, Vietnam|Ton Duc ang Univ, Fac Math & Stat, Ho Chi Minh, Vietnam;

Duy Tan Univ, Inst Fundamental & Appl Sci, Ho Chi Minh 550000, Vietnam|Duy Tan Univ, Fac Nat Sci, Da Nang 550000, Vietnam;

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A Study of Fractional Differential Equation with a Positive Constant Coefficient via Hilfer Fractional Derivative

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