Hermite‐Hadamard‐type inequalities for interval‐valued coordinated convex functions involving generalized fractional integrals
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6712
Abstract: In this paper, we define interval‐valued left‐sided and right‐sided generalized fractional double integrals. We establish inequalities of Hermite‐Hadamard like for coordinated interval‐valued convex functions by applying our newly defined integrals. read more here.
Keywords: generalized fractional; hermite hadamard; type inequalities; hadamard type ... See more keywords
Dual method of centers for solving generalized fractional programs
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DOI: 10.1007/s10898-017-0523-z
Abstract: In this paper we analyze the method of centers for generalized fractional programs, with further insights. The introduced method is based on a different parametric auxiliary problem than Dinkelbach’s type. With the help of this… read more here.
Keywords: dual method; method centers; generalized fractional; fractional programs ... See more keywords
Generalized Fractional Algebraic Linear System Solvers
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DOI: 10.1007/s10915-022-01785-z
Abstract: This paper is devoted to the numerical computation of algebraic linear systems involving several matrix power functions; that is finding x solution to $$\sum _{\alpha \in \mathbb {R}}A^{\alpha }x=b$$ ∑ α ∈ R A α… read more here.
Keywords: generalized fractional; fractional algebraic; algebraic linear; linear systems ... See more keywords
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind
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DOI: 10.1007/s11117-018-0635-9
Abstract: In the present paper, we will characterize the boundedness of the generalized fractional integral operators $$I_{\rho }$$Iρ and the generalized fractional maximal operators $$M_{\rho }$$Mρ on Orlicz spaces, respectively. Moreover, we will give a characterization… read more here.
Keywords: morrey spaces; generalized orlicz; generalized fractional; orlicz morrey ... See more keywords
Fischer Decomposition in Generalized Fractional Ternary Clifford Analysis
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DOI: 10.1007/s11785-016-0631-7
Abstract: This paper describes the generalized fractional Clifford analysis in the ternary setting. We will give a complete algebraic and analytic description of the spaces of monogenic functions in this sense, their analogous Fischer decomposition, concluding… read more here.
Keywords: analysis; generalized fractional; clifford analysis; fischer decomposition ... See more keywords
On certain subclasses of multivalent functions defined by a generalized fractional differintegral operator
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DOI: 10.1007/s13370-016-0433-0
Abstract: The purpose of this paper is to introduce subclasses of multivalent functions by using linear operator defined by generalized fractional differintegral operator. We investigate various properties for functions of these subclasses. read more here.
Keywords: multivalent functions; fractional differintegral; generalized fractional; subclasses multivalent ... See more keywords
On Generalized Fractional Integration of Aleph $$(\aleph )$$(ℵ)-Function
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DOI: 10.1007/s40819-017-0353-1
Abstract: In the present paper, we establish two theorems exhibiting images of the product of Aleph $$(\aleph )$$(ℵ)-function and Srivastava’s polynomials (J Math 14:1–6, 1972) in Saigo operators (Math Rep Kyushu Univ 11:135–143, 1978). Being of… read more here.
Keywords: aleph aleph; fractional integration; generalized fractional; aleph ... See more keywords
Processing of viscoelastic data via a generalized fractional model
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DOI: 10.1016/j.ijengsci.2021.103465
Abstract: Abstract Data fitting and interconversion remain to be a difficult task in linear viscoelasticity. On the basis of transfer function, a generalized fractional model is proposed to fit linear viscoelastic data. The new model is… read more here.
Keywords: maxwell; viscoelastic data; model; fractional model ... See more keywords
Generalized fractional grey system models: The memory effects perspective.
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DOI: 10.1016/j.isatra.2021.07.037
Abstract: In recent years, grey models based on fractional-order accumulation and/or derivatives have attracted considerable research interest because they offer better performance in handling limited samples with uncertainty than integer-order grey models; however, there remains room… read more here.
Keywords: generalized fractional; model; memory effects; grey ... See more keywords
Prox-regularization of the dual method of centers for generalized fractional programs
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DOI: 10.1080/10556788.2017.1392520
Abstract: We present in this paper a prox-dual regularization algorithm for solving generalized fractional programming problems. The algorithm combines the dual method of centres for generalized fractional programs and the proximal point algorithm and can handle… read more here.
Keywords: prox regularization; generalized fractional; fractional programs; dual method ... See more keywords
Generalized fractional viscothermoelastic nanobeam under the classical Caputo and the new Caputo–Fabrizio definitions of fractional derivatives
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DOI: 10.1080/17455030.2021.1883767
Abstract: In this paper, we introduce a new unified formula that governs two different definitions of fractional derivative; the classical Caputo definition and Caputo–Fabrizio's new definition. Hence, an an... read more here.
Keywords: caputo; caputo fabrizio; generalized fractional; classical caputo ... See more keywords