NEW EXISTENCE RESULTS FOR NONLINEAR FRACTIONAL JERK EQUATIONS WITH INITIAL-BOUNDARY VALUE CONDITIONS AT RESONANCE

Lei Hu; Jianguo Si

doi:10.11948/20200299

2021 Volume 11 Issue 6

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Lei Hu, Jianguo Si. NEW EXISTENCE RESULTS FOR NONLINEAR FRACTIONAL JERK EQUATIONS WITH INITIAL-BOUNDARY VALUE CONDITIONS AT RESONANCE[J]. Journal of Applied Analysis & Computation, 2021, 11(6): 2687-2700. doi: 10.11948/20200299

Citation:

Lei Hu, Jianguo Si. NEW EXISTENCE RESULTS FOR NONLINEAR FRACTIONAL JERK EQUATIONS WITH INITIAL-BOUNDARY VALUE CONDITIONS AT RESONANCE[J]. Journal of Applied Analysis & Computation, 2021, 11(6): 2687-2700. doi: 10.11948/20200299

NEW EXISTENCE RESULTS FOR NONLINEAR FRACTIONAL JERK EQUATIONS WITH INITIAL-BOUNDARY VALUE CONDITIONS AT RESONANCE

Lei Hu^1,2, ,,
Jianguo Si¹

1.
School of Mathematics, Shandong University, Jinan, Shanda Nanlu, 250100, China
2.
School of Science, Shandong Jiaotong University, Jinan, Haitang Road, 250357, China

Corresponding author: Email address: huleimath@163.com(L. Hu)

Abstract

Abstract

In this paper, a novel jerk system involving fractional-order-derivat-ives is proposed. We obtain the existence of solutions of nonlinear fractional jerk differential equations with initial-boundary value conditions at resonance by coincidence degree theory. This paper enriches some existing literatures. Finally, we present an example to illustrate our main results.
- Existence /
- jerk system /
- initial-boundary value conditions /
- resonance
MSC: 26A33, 34B15

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References

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