Results 31 to 40 of about 627 (90)
Alexandria Engineering Journal, 2020 We investigate the existence of solutions for a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions.
D. Baleanu, S. Etemad, Sh. Rezapour
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On the Nagumo uniqueness theorem
, 2011 By a convenient reparametrisation of the integral curves of a nonlinear ordinary differential equation (ODE), we are able to improve the conclusions of the recent contribution [A. Constantin, Proc. Japan Acad. {\bf 86(A)} (2010), 41--44]. In this way, we
Mustafa, Octavian G., O'Regan, Donal
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An Extension of the Well-Posedness Concept for Fractional Differential Equations of Caputo's Type [PDF]
, 2013 It is well known that, under standard assumptions, initial value problems for fractional ordinary differential equations involving Caputo-type derivatives are well posed in the sense that a unique solution exists and that this solution continuously ...
Diethelm, Kai
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Coupled system of a fractional order differential equations with weighted initial conditions
Open Mathematics, 2019 Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A. +1 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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The Knaster-Tarski theorem versus monotone nonexpansive mappings
, 2018 Let $X$ be a partially ordered set with the property that each family of order intervals of the form $[a,b],[a,\rightarrow )$ with the finite intersection property has a nonempty intersection.
Espínola, Rafael, Wiśnicki, Andrzej
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A general Lipschitz uniqueness criterion for scalar ordinary differential equations [PDF]
, 2014 The classical Lipschitz-type criteria guarantee unique solvability of the scalar initial value problem $\dot x=f(t,x)$, $x(t_0)=x_0,$ by putting restrictions on $|f(t,x)-f(t,y)|$ in dependence of $|x-y|$. Geometrically it means that the field differences
Diblik, Josef +2 more
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An investigation of fractional Bagley-Torvik equation
Open Mathematics, 2019 In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution.
Fazli Hossein, Nieto Juan J.
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Solutions to a class of nonlinear differential equations of fractional order [PDF]
, 2009 In this paper we investigate the formulation of a class of boundary value problems of fractional order with the Riemann-Liouville fractional derivative and integral-type boundary conditions.
Kosmatov, Nickolai
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Nonlinear EngineeringThis article demonstrates the behavior of generalized (ψ,φ\psi ,\varphi )-type contraction mappings involving expressions of rational-type in the context of super-metric spaces.
Shah Syed Khayyam +4 more
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