Caputo-Hadamard型分数阶隐式微分方程周期边值问题解的存在性

Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (4): 851-857.

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Existence of Solutions for Periodic Boundary Value Problems of Caputo-Hadamard Type Fractional Implicit Differential Equations

ZHANG Wei, ZHANG Yu, NI Jinbo

School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui Province, China

Received:2023-09-14 Online:2024-07-26 Published:2024-07-26

Abstract

Abstract: By using the continuation theorem, we discussed a class of periodic boundary value problems for Caputo-Hadamard type fractional implicit differential equations, obtained the existence result of solutions, and provided specific example for explanation.

Key words: Caputo-Hadamard type fractional differential, fractional implicit differential equation, periodic boundary value problem, continuation theorem, existence

CLC Number:

O175.8

ZHANG Wei, ZHANG Yu, NI Jinbo. Existence of Solutions for Periodic Boundary Value Problems of Caputo-Hadamard Type Fractional Implicit Differential Equations[J].Journal of Jilin University Science Edition, 2024, 62(4): 851-857.

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Existence of Solutions for Periodic Boundary Value Problems of Caputo-Hadamard Type Fractional Implicit Differential Equations

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