197 citations · 197 across the 4 of their papers we have counts for
4 papers
Variational Formulations for Fractional Integral and Differential Equations
Delfim F. M. Torres
Given a fractional-order linear equation , we define an appropriate symmetric bilinear form so that the fractional operator is symmetric with respect to that biline…
Towards a Gagliardo-Type Theory of Fractional Sobolev Spaces on Arbitrary Time Scales
Hafida Abbas, Abdelhalim Azzouz, Praveen Agarwal +1
We propose a systematic Gagliardo-type formulation of fractional Sobolev spaces on arbitrary time scales, based on the Lebesgue Delta-measure and the off-diagonal interaction domai…
Discrete Opial type inequalities for interval-valued functions
Dafang Zhao, Xuexiao You, Delfim F. M. Torres
We introduce the forward (backward) gH-difference operator of interval sequences, and establish some new discrete Opial type inequalities for interval-valued functions. Further, we…
Fractional conservation laws in optimal control theory
Gastao S. F. Frederico, Delfim F. M. Torres
Using the recent formulation of Noether's theorem for the problems of the calculus of variations with fractional derivatives, the Lagrange multiplier technique, and the fractional…