Results 1 to 10 of about 43 (43)
A Cauchy-type generalization of Flett's theorem
Demonstratio Mathematica, 2021 We prove a Cauchy-type generalization of Flett’s theorem and note its geometric interpretations. Several other mean value theorems extending further the result, which involve both real and complex functions, are also proved.
Markov Lubomir
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Demonstratio Mathematica, 2022 In this article, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (hyperbolic) sine and cosine functions with inverse sine and cosine functions, and in the light of ...
Qi Feng
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Inequalities of trapezoidal type involving generalized fractional integrals
Alexandria Engineering Journal, 2020 During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for λφ–preinvex functions, which are differentiable and ...
Dumitru Baleanu +2 more
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On some mean value theorem via covering argument
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 We show how the full covering argument can be used to prove some type of Cauchy mean value theorem.
Sokołowski Dariusz
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On some properties of the conformable fractional derivative
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A.
Azennar Radouane, Mentagui Driss
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A remark on local fractional calculus and ordinary derivatives
Open Mathematics, 2016 In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary
Almeida Ricardo +2 more
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A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic
Open Mathematics, 2016 We study a parameterized family of singular functions which appears in a paper by H. Okamoto and M. Wunsch (2007). Various properties are revisited from the viewpoint of fractal geometry and probabilistic techniques.
de Amo Enrique +2 more
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Theory and applications of first-order systems of Stieltjes differential equations
Advances in Nonlinear Analysis, 2017 We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives.
Frigon Marlène, Pouso Rodrigo López
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On second-order linear Stieltjes differential equations with non-constant coefficients
Open MathematicsIn this work, we define the notions of Wronskian and simplified Wronskian for Stieltjes derivatives and study some of their properties in a similar manner to the context of time scales or the usual derivative.
Fernández Francisco J. +2 more
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Some well-known inequalities of Ostrowski like for Caputo derivatives
Applied Mathematics in Science and EngineeringThis paper aims to provide new versions of some known inequalities by applying Caputo fractional derivatives. Ostrowski, Hermite-Hadamard and Ostrowski-Grüss-type inequalities are given. Generalized conditions of existing inequalities are analysed to get
Yonghong Liu +4 more
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