In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using the results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are a special case of our problem.
Citation: Zheng Kou, Saeed Kosari. On a generalization of fractional Langevin equation with boundary conditions[J]. AIMS Mathematics, 2022, 7(1): 1333-1345. doi: 10.3934/math.2022079
In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using the results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are a special case of our problem.
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Zheng Kou, Saeed Kosari. On a generalization of fractional Langevin equation with boundary conditions[J]. AIMS Mathematics, 2022, 7(1): 1333-1345. doi: 10.3934/math.2022079
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