Supplement to the paper "On the number of fractional parts of a polynom lying in a given interval"
И.М. Виноградов (1936)
Matematiceskij sbornik
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Displaying similar documents to “On the number of fractional parts of a polynom lying in a given interval.”
Supplement to the paper "On the number of fractional parts of a polynom lying in a given interval"
Approximation by mean of fractional parts of a polynomial.
И.М. Виноградов ([unknown])
Matematiceskij sbornik
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On the distribution of the fractional part of a statistical variable.
Дж. Тукый ([unknown])
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On a sum of fractional parts
B. Martić (1964)
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Note on the fractional parts of λθⁿ
Masayoshi Hata (2005)
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A Note On Fractional Integration
Branislav Martić (1973)
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Theorems on some families of fractional differential equations and their applications
Gülçin Bozkurt, Durmuş Albayrak, Neşe Dernek (2019)
Applications of Mathematics
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We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional derivative. We first state and prove our main results regarding the solutions of some families of fractional order differential equations, and then give examples to illustrate these results. In particular, we give the exact solutions for...
Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems
Choukri Derbazi, Hadda Hammouche (2021)
Mathematica Bohemica
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We study the existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems. Our results are based on Schauder's fixed point theorem and the Banach contraction principle fixed point theorem. Examples are provided to illustrate the main results.
On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)
Małgorzata Klimek (2011)
Banach Center Publications
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One-term and multi-term fractional differential equations with a basic derivative of order α ∈ (0,1) are solved. The existence and uniqueness of the solution is proved by using the fixed point theorem and the equivalent norms designed for a given value of parameters and function space. The explicit form of the solution obeying the set of initial conditions is given.
Existence of solutions of generalized fractional differential equation with nonlocal initial condition
Sandeep P. Bhairat, Dnyanoba-Bhaurao Dhaigude (2019)
Mathematica Bohemica
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This paper is devoted to studying the existence of solutions of a nonlocal initial value problem involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. Illustrative examples are also given.
System of fractional differential equations with Erdélyi-Kober fractional integral conditions
Natthaphong Thongsalee, Sorasak Laoprasittichok, Sotiris K. Ntouyas, Jessada Tariboon (2015)
Open Mathematics
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In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.