Non‐uniqueness of solution for non‐instantaneous impulsive Hilfer–Hadamard fractional‐order system
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7840
Abstract: We discuss the non‐uniqueness of solution for the non‐instantaneous impulsive fractional order system (NIFrOS) involving Hilfer–Hadamard fractional derivative. For two NIFrOSs, we find their equivalent systems by reconstructing some functions to built the connection between… read more here.
Keywords: system; non uniqueness; solution; uniqueness solution ... See more keywords
Existence and Uniqueness of Solution for Stieltjes Differential Equations with Several Derivators
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DOI: 10.1007/s00009-021-01817-2
Abstract: In this paper, we study some existence and uniqueness results for systems of differential equations in which each of the equations of the system involves a different Stieltjes derivative. Specifically, we show that this problems… read more here.
Keywords: solution stieltjes; differential equations; solution; stieltjes differential ... See more keywords
On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation
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DOI: 10.1134/s1064562419050247
Abstract: A nonlinear integral equation arising in the spatial model of biological communities developed by Austrian scientists Ulf Dieckmann and Richard Law is studied. Sufficient conditions for the existence of a solution of this equation (a… read more here.
Keywords: existence uniqueness; integral equation; uniqueness solution; equation ... See more keywords
Existence and uniqueness of the solution of fractional damped dynamical systems
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DOI: 10.1186/s13662-016-1049-2
Abstract: In this paper, we consider the existence and uniqueness of the solution of fractional damped dynamical systems. First, we obtain the spreading form of the Gronwall inequality. Furthermore, several sufficient conditions for the existence of… read more here.
Keywords: existence uniqueness; uniqueness solution; solution fractional; damped dynamical ... See more keywords
On the uniqueness of solution to generalized Chaplygin gas
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DOI: 10.3934/dcds.2017190
Abstract: The main object of the paper is finding a unique solution to Riemann problem for generalized Chaplygin gas model. That is a model of the dark energy in Universe introduced in the last decade. It… read more here.
Keywords: chaplygin gas; solution; generalized chaplygin; uniqueness solution ... See more keywords