Clarify the physical process for fractional dynamical systems
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DOI: 10.1007/s11071-020-05637-z
Abstract: Dynamics in fractional order systems has been discussed extensively for presenting a possible guidance in the field of applied mathematics and interdisciplinary science. Within hundreds and thousands of reviews, regular papers and drafts, many fractional… read more here.
Keywords: order systems; fractional order; clarify physical; dynamical systems ... See more keywords
Reachability of fractional dynamical systems using ψ-Hilfer pseudo-fractional derivative
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DOI: 10.1063/5.0049341
Abstract: In this paper, we investigate the reachability of linear and non-linear systems in the sense of the ψ-Hilfer pseudo-fractional derivative in g-calculus by means of the Mittag–Leffler functions (one and two parameters). In this sense,… read more here.
Keywords: reachability fractional; hilfer pseudo; fractional derivative; pseudo fractional ... See more keywords
Fractional Dynamical Systems Solved by a Collocation Method Based on Refinable Spaces
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DOI: 10.3390/axioms12050451
Abstract: A dynamical system is a particle or set of particles whose state changes over time. The dynamics of the system is described by a set of differential equations. If the derivatives involved are of non-integer… read more here.
Keywords: fractional dynamical; dynamical system; collocation method;