New results for nonlinear fractional jerk equations with resonant boundary value conditions

Lei Hu; Cheng Wang; Shuqin Zhang; Lei Hu; Cheng Wang; Shuqin Zhang

doi:10.3934/math.2020372

AIMS Mathematics

2020, Volume 5, Issue 6: 5801-5812. doi: 10.3934/math.2020372

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Research article

New results for nonlinear fractional jerk equations with resonant boundary value conditions

1.
School of Science, Shandong Jiaotong University, 5001 Haitang Road, Changqing District, Jinan, Shandong Province, China
2.
School of Information Science and Electrical Engineering, Shandong Jiaotong University, 5001 Haitang Road, Changqing District, Jinan, Shandong Province, China
3.
School of Science, China University of Mining and Technology-Beijing, 100083 Ding No.11 Xueyuan Road, Haidian District, Beijing, China

Received: 26 May 2020 Accepted: 30 June 2020 Published: 14 July 2020
MSC : 26A33, 34B15

A novel fractional-order jerk equation with resonant boundary value conditions is proposed. Using coincidence degree theory, we obtain the existence of solutions of nonlinear fractional jerk equation with two-point boundary conditions. This paper enriches some existing literatures. Finally, an example is given to demonstrate the effectiveness of our main result.
- fractional jerk equation,
- boundary value conditions,
- coincidence degree theory,
- resonance
Citation: Lei Hu, Cheng Wang, Shuqin Zhang. New results for nonlinear fractional jerk equations with resonant boundary value conditions[J]. AIMS Mathematics, 2020, 5(6): 5801-5812. doi: 10.3934/math.2020372

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Abstract

A novel fractional-order jerk equation with resonant boundary value conditions is proposed. Using coincidence degree theory, we obtain the existence of solutions of nonlinear fractional jerk equation with two-point boundary conditions. This paper enriches some existing literatures. Finally, an example is given to demonstrate the effectiveness of our main result.

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