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20172023
most citedOn the existence and stability for non-instantaneuos impulsive fractional integrodifferential equation

37 citations · 72 across the 9 of their papers we have counts for

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math.CA2017★ 4 cited

Gruss-type inequality by mean of a fractional integral

J. Vanterler da C. Sousa, D. S. Oliveira, E. Capelas de Oliveira

In this paper, using a fractional integral as proposed by Katugampola we establish a generalization of integral inequalities of Gruss-type. We prove two theorems associated with th…

math.CA2017★ 21 cited

Hilfer-Katugampola fractional derivative

D. S. Oliveira, E. Capelas de Oliveira

We propose a new fractional derivative, the Hilfer-Katugampola fractional derivative. Motivated by the Hilfer derivative this formulation interpolates the well-known fractional der…