Variational problems of Herglotz type with complex order fractional derivatives and less regular Lagrangian
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DOI: 10.1007/s00707-019-02521-9
Abstract: We derive optimality conditions for variational problems of Herglotz type whose Lagrangian depends on fractional derivatives of both real and complex order, and resolve the case of subdomain when the lower bounds of variational integral… read more here.
Keywords: complex order; herglotz type; fractional derivatives; problems herglotz ... See more keywords
Stochastic Zener model with complex order fractional derivatives
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DOI: 10.1177/10812865221080736
Abstract: We analyze the dissipation inequality for the constitutive equation of a complex order fractional Zener model and obtain appropriate thermodynamical restrictions for the wave-type model equation in terms of its Laplace transform. These constraints obtained… read more here.
Keywords: order fractional; complex order; zener model; model ... See more keywords
q-Harmonic mappings for which analytic part is q-convex functions of complex order
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DOI: 10.15672/hjms.2017.480
Abstract: We introduce a new class of harmonic function $f$, that is subclass of planar harmonic mapping associated with $q-$difference operator. Let $h$ and $g$ are analytic functions in the open unit disc $\mathbb{D}=\{ z\,:\,|z| read more here.
Keywords: mathcal mathcal; part convex; complex order; analytic part ... See more keywords
Certain Subclasses of Bi-Starlike Function of Complex Order Defined by Erdély-Kober-Type Integral Operator
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DOI: 10.3390/axioms11050237
Abstract: In the present paper, we introduce new subclasses of bi-starlike and bi-convex functions of complex order associated with Erdély–Kober-type integral operator in the open unit disc and find the estimates of initial coefficients in these… read more here.
Keywords: integral operator; complex order; subclasses starlike; kober type ... See more keywords
Sharp Coefficient Bounds for a New Subclass of Starlike Functions of Complex Order γ Associated with Cardioid Domain
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DOI: 10.3390/math11092017
Abstract: In this study, by using the concepts of subordination, we define a new family RM,N,λ,γ of starlike functions of complex order γ connected with the cardioid domain. The main contribution of this article consists of… read more here.
Keywords: starlike functions; complex order; functions complex; cardioid domain ... See more keywords
Bi-Starlike Function of Complex Order Involving Mathieu-Type Series Associated with Telephone Numbers
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DOI: 10.3390/sym15030638
Abstract: For the first time, we attempted to define two new sub-classes of bi-univalent functions in the open unit disc of the complex order involving Mathieu-type series, associated with generalized telephone numbers. The initial coefficients of… read more here.
Keywords: mathieu type; order involving; complex order; type series ... See more keywords