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Volume 1, Issue 2
Existence of Solutions for Fractional Integro-Differential Equations with Impulsive and Integral Conditions

Yanpeng Hao & Qiaoluan Li

DOI: 10.12150/jnma.2019.221

J. Nonl. Mod. Anal., 1 (2019), pp. 221-235.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

This paper presents the existence of solutions for a class of Cauchy problems with integral condition for impulsive fractional integro-differential equations. Based on definition of solution for impulsive fractional integro-differential equations, the existence theorems of solutions of fractional differential equation are obtained by applying fixed point methods. Finally, three examples are given to demonstrate the feasibility of the obtained results.

  • Keywords

Existence of solutions, impulsive fractional differential equations, fixed point theorems.

  • AMS Subject Headings

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COPYRIGHT: © Global Science Press

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@Article{JNMA-1-221, author = {Hao , Yanpeng and Li , Qiaoluan}, title = {Existence of Solutions for Fractional Integro-Differential Equations with Impulsive and Integral Conditions}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {2}, pages = {221--235}, abstract = {

This paper presents the existence of solutions for a class of Cauchy problems with integral condition for impulsive fractional integro-differential equations. Based on definition of solution for impulsive fractional integro-differential equations, the existence theorems of solutions of fractional differential equation are obtained by applying fixed point methods. Finally, three examples are given to demonstrate the feasibility of the obtained results.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.221}, url = {http://global-sci.org/intro/article_detail/jnma/18859.html} }
TY - JOUR T1 - Existence of Solutions for Fractional Integro-Differential Equations with Impulsive and Integral Conditions AU - Hao , Yanpeng AU - Li , Qiaoluan JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 221 EP - 235 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.221 UR - https://global-sci.org/intro/article_detail/jnma/18859.html KW - Existence of solutions, impulsive fractional differential equations, fixed point theorems. AB -

This paper presents the existence of solutions for a class of Cauchy problems with integral condition for impulsive fractional integro-differential equations. Based on definition of solution for impulsive fractional integro-differential equations, the existence theorems of solutions of fractional differential equation are obtained by applying fixed point methods. Finally, three examples are given to demonstrate the feasibility of the obtained results.

Yanpeng Hao & Qiaoluan Li. (1970). Existence of Solutions for Fractional Integro-Differential Equations with Impulsive and Integral Conditions. Journal of Nonlinear Modeling and Analysis. 1 (2). 221-235. doi:10.12150/jnma.2019.221
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