Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives-Reference-Cited by-同舟云学术

Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives

Published:2019-09 Issue:5 Volume:78 Page:1507-1516
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Sidi Ammi Moulay Rchid^ORCID,Torres Delfim F.M.^ORCID

Funder

Center for Research and Development in Mathematics and Applications (CIDMA) of University of Aveiro

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference30 articles.

1. The extended fractional Caputo–Fabrizio derivative of order 0≤σ<1 on CR[0,1] and the existence of solutions for two higher-order series-type differential equations;Baleanu;Adv. Difference Equ.,2018

2. Derivatives with non-singular kernels from the Caputo–Fabrizio definition and beyond: appraising analysis with emphasis on diffusion models;Hristov,2018

3. Computation of the Mittag-Leffler function Eα,β(z) and its derivative;Gorenflo;Fract. Calc. Appl. Anal.,2002

4. Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties;Atangana;Physica A,2018

5. Fractional derivatives with no-index law property: application to chaos and statistics;Atangana;Chaos Solitons Fractals,2018

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