Solution of Fractional Impulsive Problem under Power Law

Exploring solutions and uniqueness of fractional impulsive problems under power law

Authors

  • Dr. R. Prahalatha
  • Dr. M. M. Shanmugapriya

Keywords:

fractional impulsive problem, power law, solution, formulae, existence, uniqueness, impulsive fractional differential equations, ABC fractional derivative, non-singular Mittag-Leffler kernel, non-singular fractional analysis, fixed-point theory, example, explained concepts

Abstract

This paper is basically concerned with finding the solution using formulae, existence and uniqueness of solutions of impulsive fractional differential equations with ABC (Atangana-Baleanu-Caputo) fractional derivative with non-singular Mittag-Leffler kernel. Our examination depends on non-singular fractional analysis and few techniques of fixed-point theory. An example is illustrated to clarify the proved concepts.

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Published

2020-04-01

How to Cite

[1]
“Solution of Fractional Impulsive Problem under Power Law: Exploring solutions and uniqueness of fractional impulsive problems under power law”, JASRAE, vol. 17, no. 1, pp. 221–229, Apr. 2020, Accessed: Sep. 20, 2024. [Online]. Available: https://ignited.in/index.php/jasrae/article/view/12615

How to Cite

[1]
“Solution of Fractional Impulsive Problem under Power Law: Exploring solutions and uniqueness of fractional impulsive problems under power law”, JASRAE, vol. 17, no. 1, pp. 221–229, Apr. 2020, Accessed: Sep. 20, 2024. [Online]. Available: https://ignited.in/index.php/jasrae/article/view/12615