THE EXISTENCE OF SOLUTION AND DEPENDENCE ON FUNCTIONAL PARAMETER FOR BVP OF FRACTIONAL DIFFERENTIAL EQUATION

Yu Tian; Yue Zhang

doi:10.11948/20210249

2022 Volume 12 Issue 2

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Yu Tian, Yue Zhang. THE EXISTENCE OF SOLUTION AND DEPENDENCE ON FUNCTIONAL PARAMETER FOR BVP OF FRACTIONAL DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 591-608. doi: 10.11948/20210249

Citation:

Yu Tian, Yue Zhang. THE EXISTENCE OF SOLUTION AND DEPENDENCE ON FUNCTIONAL PARAMETER FOR BVP OF FRACTIONAL DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 591-608. doi: 10.11948/20210249

THE EXISTENCE OF SOLUTION AND DEPENDENCE ON FUNCTIONAL PARAMETER FOR BVP OF FRACTIONAL DIFFERENTIAL EQUATION

Yu Tian^1, ,,
Yue Zhang¹

1.
School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

Corresponding author: Email: tianyu2992@163.com(Y. Tian)

Abstract

Abstract

In this paper, fractional differential equations of $p$-$q$-Laplacian with instantaneous and non-instantaneous impulses are considered. The existence result is obtained by using the variational approach. Furthermore, we establish the dependence on functional parameters for classical solutions of the boundary value problem with $L^1$ right hand side. The interesting points are $p$-$q$-Laplace operator and dependence on functional parameters.
- Variational approach /
- p-q-Laplace operator /
- instantaneous impulse /
- non-instantaneous impulse /
- continuous dependence on functional parameters
MSC: 34A08, 35R11, 34K10

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References

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