EXISTENCE OF SOLUTIONS FOR A FRACTIONAL ADVECTION-DISPERSION EQUATION WITH IMPULSIVE EFFECTS VIA VARIATIONAL APPROACH

Dandan Min; Fangqi Chen

doi:10.11948/20190181

2020 Volume 10 Issue 3

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Dandan Min, Fangqi Chen. EXISTENCE OF SOLUTIONS FOR A FRACTIONAL ADVECTION-DISPERSION EQUATION WITH IMPULSIVE EFFECTS VIA VARIATIONAL APPROACH[J]. Journal of Applied Analysis & Computation, 2020, 10(3): 1005-1023. doi: 10.11948/20190181

Citation:

Dandan Min, Fangqi Chen. EXISTENCE OF SOLUTIONS FOR A FRACTIONAL ADVECTION-DISPERSION EQUATION WITH IMPULSIVE EFFECTS VIA VARIATIONAL APPROACH[J]. Journal of Applied Analysis & Computation, 2020, 10(3): 1005-1023. doi: 10.11948/20190181

EXISTENCE OF SOLUTIONS FOR A FRACTIONAL ADVECTION-DISPERSION EQUATION WITH IMPULSIVE EFFECTS VIA VARIATIONAL APPROACH

Dandan Min¹,
Fangqi Chen^1,2, ,

1.
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
2.
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

Corresponding author: Email address:fangqichen1963@126.com(F. Chen)
Fund Project: The authors were supported by National Natural Science Foundation of China (11872201, 11572148)

Abstract

Abstract

In this paper, based on the variational approach and iterative technique, the existence of nontrivial weak solutions is derived for a fractional advection-dispersion equation with impulsive effects, and the nonlinear term of fractional advection-dispersion equation contain the fractional order derivative. In addition, an example is presented as an application of the main result.
- Fractional advection-dispersion equation /
- variational approach /
- impulsive /
- iterative technique
MSC: 26A33, 35A15, 34B15

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