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Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties

Physica A: Statistical Mechanics and its Applications, 2018
We presented an analysis of evolutions equations generated by three fractional derivatives namely the Riemann–Liouville, Caputo–Fabrizio and the Atangana–Baleanu fractional derivatives.
A. Atangana
semanticscholar   +1 more source

Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis

Journal of difference equations and applications (Print), 2023
Inverse or terminal value problems of fractional differential equations become popular recently. But memory effects or non-locality of fractional operators cause many difficulties for theoretical analysis.
Guo-cheng Wu, Jianfeng Wei, Maokang Luo
semanticscholar   +1 more source

A new collection of real world applications of fractional calculus in science and engineering

Communications in nonlinear science & numerical simulation, 2018
Fractional calculus is at this stage an arena where many models are still to be introduced, discussed and applied to real world applications in many branches of science and engineering where nonlocality plays a crucial role.
Hongguang Sun   +4 more
semanticscholar   +1 more source

Non-standard analysis for fractal calculus

The Journal of Analysis, 2023
Alireza Khalili Golmankhaneh   +3 more
semanticscholar   +1 more source

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators

Communication on Applied Mathematics and Computation, 2019
In this article, discrete variants of several results from vector calculus are studied for classical finite difference summation by parts operators in two and three space dimensions.
Hendrik Ranocha   +2 more
semanticscholar   +1 more source

Suggested courseware for the non-calculus physics student: Newton’s laws, energy, and momentum

The Physics Teacher, 1988
Joyce Mahoney   +2 more
openaire   +1 more source

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