On the Existence of Solutions of a Three Steps Crisis Integro-Differential Equation
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Abstract
There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation. We suppose that the second step is a point-wise defined singular fractional differential equation.
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Caputo Derivative, Point-Wise Defined Singular Equation, Three Steps Crisis Phenomena, Impulsive Differential Equations, Three steps crisis phenomena, Exact differential equation, First-order partial differential equation, Integro-differential equation, Applied Mathematics, Partial differential equation, Point-wise defined singular equation, Applied mathematics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Caputo derivative, Fixed Point Theorems in Metric Spaces, Differential equation, Modeling and Simulation, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, Mathematics, Anomalous Diffusion Modeling and Analysis, Ordinary differential equation, point-wise defined singular equation, three steps crisis phenomena, Fractional ordinary differential equations, Integro-ordinary differential equations, Fractional derivatives and integrals
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Baleanu, Dumitru; Ghafarnezhad, Khadijeh; Rezapour, Shahram, "On a three step crisis integro-differential equation", Advances in Difference Equations, (April 2018).
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49
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2018
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1
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