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Langevin Equation Involving Three Fractional Orders |
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| Authors: | Darzi Rahmat Agheli Bahram Nieto Juan J |
| Institution: | 1.Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran ;2.Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran ;3.Departamento de Estadistica, Analisis Matematico y Optimizacion, Universidad de Santiago de Compostela, 15782, Santiago, Spain ; |
| Abstract: | In this paper, the existence and uniqueness of initial value problems for nonlinear Langevin equation involving three fractional orders are discussed. We use a new norm that is convenient for the fractional and singular differential equations. This norm and the contraction mapping principles are the main tools for investigating the existence and uniqueness of the desired issue. The fractional derivatives are described in Caputo sense. |
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