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Certain Gronwall type inequalities associated with Riemann-Liouville $k$- and Hadamard $k$-fractional derivatives and their applications

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초록

We aim to establish certain Gronwall type inequalities asso- ciated with Riemann-Liouville k- and Hadamard k-fractional derivatives. The results presented here are sure to be new and potentially useful, in particular, in analyzing dependence solutions of certain k-fractional dif- ferential equations of arbitrary real order with initial conditions. Some interesting special cases of our main results are also considered.

Abstract

We aim to establish certain Gronwall type inequalities asso- ciated with Riemann-Liouville k- and Hadamard k-fractional derivatives. The results presented here are sure to be new and potentially useful, in particular, in analyzing dependence solutions of certain k-fractional dif- ferential equations of arbitrary real order with initial conditions. Some interesting special cases of our main results are also considered.

참고문헌 (23)

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