Results 41 to 50 of about 800 (123)
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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Infinite first order differential systems with nonlocal initial conditions [PDF]
, 2014 We discuss the solvability of an infinite system of first order ordinary differential equations on the half line, subject to nonlocal initial conditions.
Infante, Gennaro +2 more
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A coupled system of fractional differential equations with nonlocal integral boundary conditions
, 2012 In this paper, we prove the existence and uniqueness of solutions for a system of fractional differential equations with Riemann-Liouville integral boundary conditions of different order.
S. Ntouyas, M. Obaid
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Global and blow-up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux [PDF]
, 2014 This work is concerned with positive classical solutions for a quasilinear parabolic equation with a gradient term and nonlinear boundary flux. We find sufficient conditions for the existence of global and blow-up solutions.
Changjun Li, Lu Sun, Zhong Fang
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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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Exploring Stochastic Fractional Delay Integrodifferential System
Asia Pacific Journal of Mathematics. This study examines the system of stochastic fractional delay integrodifferential equations with Gaussian noise. We employ the Picard-Lindelof successive approximation scheme for existence and uniqueness.
M. L. Maheswari, Karthik Muthusamy
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Theory of fractional hybrid differential equations with linear perturbations of second type
, 2013 In this paper, we develop the theory of fractional hybrid differential equations with linear perturbations of second type involving Riemann-Liouville differential operators of order ...
Hongling Lu +3 more
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Advances in Differential Equations, 2013 In this paper, we investigate the existence results for a class of abstract fractional neutral integro-differential evolution systems involving the Caputo derivative in Banach spaces.
C. Ravichandran, D. Baleanu
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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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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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