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- W4380925745 abstract "In this paper, we are going to deal with fractional operators (FOs) with non-singular kernels which is not an easy task because of its restriction at the origin. In this work, we first show the boundedness of the extended form of the modified Atangana-Baleanu (A-B) Caputo fractional derivative operator. The generalized Laplace transform is evaluated for the introduced operator. By using the generalized Laplace transform, we solve some fractional differential equations. The corresponding form of the Atangana-Baleanu Caputo fractional integral operator is also established. This integral operator is proved bounded and obtained its Laplace transform. The existence and Hyers-Ulam stability is explored. In the last results, we studied the relation between our defined operators. The operators in the literature are obtained as special cases for these newly explored FOs." @default.
- W4380925745 created "2023-06-17" @default.
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- W4380925745 date "2023-07-01" @default.
- W4380925745 modified "2023-10-14" @default.
- W4380925745 title "Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function" @default.
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- W4380925745 doi "https://doi.org/10.1016/j.aej.2023.05.037" @default.
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