Results 211 to 220 of about 26,870 (247)

On a Caputo-type fractional derivative

Advances in Pure and Applied Mathematics, 2019
Abstract In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola. The generalized fractional derivative, when convenient limits are considered, recovers the Riemann–Liouville and the Hadamard derivatives ...
Oliveira, Daniela S.   +1 more
openaire   +4 more sources

Fundamental results on weighted Caputo–Fabrizio fractional derivative

Chaos, Solitons & Fractals, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Refai, Mohammed, Jarrah, Abdulla M.
openaire   +3 more sources

New discretization of Caputo–Fabrizio derivative

Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akman, Tuğba   +2 more
openaire   +1 more source

Fractional Optimal Control Within Caputo’s Derivative

Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 2011
A general formulation and solution of fractional optimal control problems (FOCPs) in terms of Caputo fractional derivatives (CFDs) of arbitrary order have been considered in this paper. The performance index (PI) of a FOCP is considered as a function of both the state and control.
Raj Kumar Biswas, Siddhartha Sen
openaire   +1 more source

Analysis of fractional Fokker-Planck equation with Caputo and Caputo-Fabrizio derivatives

Annals of the University of Craiova - Mathematics and Computer Science Series, 2021
This research focus on the determination of the numerical solution for the mathematical model of Fokker-Planck equations utilizing a new method, in which Sumudu transformation and homotopy analysis method (SHAM) are used together. By SHAM analytical series solution of any mathematical model including fractional derivative can be obtained.
Suleyman Cetinkaya   +2 more
openaire   +2 more sources

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