Complex Backward–Forward Derivative Operator in Non-local-In-Time Lagrangians Mechanics
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DOI: 10.1007/s12346-016-0187-y
Abstract: In this paper we introduce non-local-in-time complexified Lagrangians characterized by an expanded complex backward–forward derivative operator which generalize the classical complex derivative operator. We developed the Euler–Lagrange equations and solved them for some special case.… read more here.
Keywords: derivative operator; non local; mechanics; local time ... See more keywords
On a $$\psi $$-Generalized Fractional Derivative Operator of Riemann–Liouville with Some Applications
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-020-00892-5
Abstract: Various extended beta functions have been investigated by many researchers (Mubeen et al. in FJMS 102:1545–1557, 2017; Ozergin et al. in J Comput Appl Math 235:4601–4610, 2011; Parmar et al. in J Class Anal 11:91–106,… read more here.
Keywords: fractional derivative; riemann liouville; derivative operator; psi generalized ... See more keywords
A new extension and applications of Caputo fractional derivative operator
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DOI: 10.1515/anly-2019-0005
Abstract: Abstract The main objective of this paper is to introduce a further extension of the extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions. Additionally,… read more here.
Keywords: derivative operator; fractional derivative; caputo fractional; derivative ... See more keywords
Applications of the q-Derivative Operator to New Families of Bi-Univalent Functions Related to the Legendre Polynomials
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DOI: 10.3390/axioms11110595
Abstract: By using the q-derivative operator and the Legendre polynomials, some new subclasses of q-starlike functions and bi-univalent functions are introduced. Several coefficient estimates and Fekete–Szegö-type inequalities for functions in each of these subclasses are obtained.… read more here.
Keywords: univalent functions; derivative operator; legendre polynomials; operator new ... See more keywords
A Class of k-Symmetric Harmonic Functions Involving a Certain q-Derivative Operator
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DOI: 10.3390/math9151812
Abstract: In this paper, we introduce a new class of harmonic univalent functions with respect to k-symmetric points by using a newly-defined q-analog of the derivative operator for complex harmonic functions. For this harmonic univalent function… read more here.
Keywords: derivative operator; harmonic functions; class symmetric; class ... See more keywords
Inverse Derivative Operator and Umbral Methods for the Harmonic Numbers and Telescopic Series Study
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DOI: 10.3390/sym13050781
Abstract: The formalism of differ-integral calculus, initially developed to treat differential operators of fractional order, realizes a complete symmetry between differential and integral operators. This possibility has opened new and interesting scenarios, once extended to positive… read more here.
Keywords: derivative operator; harmonic numbers; operator umbral; series ... See more keywords
An Efficient Approach for Solving Differential Equations in the Frame of a New Fractional Derivative Operator
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DOI: 10.3390/sym15010144
Abstract: Recently, a new fractional derivative operator has been introduced so that it presents the combination of the Riemann–Liouville integral and Caputo derivative. This paper aims to enhance the reproducing kernel Hilbert space method (RKHSM, for… read more here.
Keywords: derivative operator; operator; new fractional; fractional derivative ... See more keywords