Results 91 to 100 of about 2,247 (183)
A note on some relations between certain inequalities and normalized analytic functions
Acta Universitatis Sapientiae: Mathematica, 2018 In this note, an extensive result consisting of several relations between certain inequalities and normalized analytic functions is first stated and some consequences of the result together with some examples are next presented.
Şan Müfit, Irmak Hüseyin
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Fractional order semilinear Volterra integrodifferential equations in Banach spaces [PDF]
arXiv, 2014 In this paper, sufficient conditions are established for the existence results of fractional order semilinear Volterra integrodifferential equations in Banach spaces. The results are obtained by using the theory of fractional cosine families and fractional powers of operators.
arxiv
Acta Universitatis Sapientiae: Mathematica, 2019 The aim of this scientific note is first to present certain information associated with the Tremblay operator in the complex plane and then to determine several results constituted by the related operator for certain analytic functions and also to point ...
Irmak Hüseyin, Engel Olga
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Taylor's formula and integral inequalities for conformable fractional derivatives [PDF]
arXiv, 2014 We derive Taylor's Formula for conformable fractional derivatives. This is then employed to extend some recent and classical integral inequalities to the conformable fractional calculus, including the inequalities of Steffensen, Chebychev, Hermite-Hadamard, Ostrowski, and Gruss.
arxiv
On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals
, 2013 In this paper, three fundamental and important Riemann-Liouville fractional integral identities including a twice differentiable mapping are established. Secondly, some interesting Hermite-Hadamard type inequalities involving Riemann-Liouville fractional
Yuruo Zhang, Jinrong Wang
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Fractional virus epidemic model on financial networks
Open Mathematics, 2016 In this study, we present an epidemic model that characterizes the behavior of a financial network of globally operating stock markets. Since the long time series have a global memory effect, we represent our model by using the fractional calculus.
Balci Mehmet Ali
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On Chebyshev type Inequalities using Generalized k-Fractional Integral Operator [PDF]
arXiv, 2016 In this paper, using generalized k-fractional integral operator (in terms of the Gauss hypergeometric function), we establish new results on generalized k-fractional integral inequalities by considering the extended Chebyshev functional in case of synchronous function and some other inequalities.
arxiv
Open Mathematics, 2017 In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon +3 more
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Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]
Bound Value Probl, 2023 Li C.
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The Maz'ya-Shaposhnikova limit in the magnetic setting [PDF]
arXiv, 2016 We prove a magnetic version of the Maz'ya-Shaposhnikova singular limit of nonlocal norms with vanishing fractional parameter. This complements a general convergence result recently obtained by authors when the parameter approaches one.
arxiv