Articles with "derivative integral" as a keyword



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Complex conformable derivative

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Published in 2019 at "Arabian Journal of Geosciences"

DOI: 10.1007/s12517-019-4396-y

Abstract: In this study, we introduce a new complex conformable derivative and integral with noninteger order α which coincides the classical complex derivative and integral for α = 1. We examine basic properties of these newly… read more here.

Keywords: complex conformable; derivative integral; conformable derivative;
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Leader–Follower Formation Maneuvers for Multi-Robot Systems via Derivative and Integral Terminal Sliding Mode

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Published in 2018 at "Applied Sciences"

DOI: 10.3390/app8071045

Abstract: This paper investigates the formation problem of multiple robots based on the leader–follower mechanism. At first, the dynamics of such a leader–follower framework are modeled. The input–output equations are depicted by calculating the relative degree… read more here.

Keywords: derivative integral; leader follower; formation; follower formation ... See more keywords
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On (k, ψ)-Hilfer Fractional Differential Equations and Inclusions with Mixed (k, ψ)-Derivative and Integral Boundary Conditions

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Published in 2022 at "Axioms"

DOI: 10.3390/axioms11080403

Abstract: In this paper we study single-valued and multi-valued (k,ψ)-Hilfer-type boundary value problems of fractional order in (1,2], subject to nonlocal boundary conditions involving (k,ψ)-Hilfer-type derivative and integral operators. The results for single-valued case are established… read more here.

Keywords: derivative integral; hilfer fractional; boundary conditions; fractional differential ... See more keywords