This article is fundamentally concerned with deriving the solution formula, existence, and uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential equations involving Atangana-Baleanu-Caputo (ABC) fractional derivative which possesses nonsingular Mittag-Leffler kernel. Our investigation is based on nonlinear functional analysis and some fixed point techniques. Besides, some examples are given delineated to illustrate the effectiveness of our outcome.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7549066 | PMC |
| http://dx.doi.org/10.1016/j.heliyon.2020.e05109 | DOI Listing |
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