An analytical improvement of a study of nonlinear Langevin equation involving two fractional orders in different intervals
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In this work, using the Banach contraction principle, we give an analytical improvement of a recent result on the existence and uniqueness of solution of a class of boundary value problem of Langevin equation with two different fractional orders. Moreover, our paper consists of several non-trivial examples which signify the motivation of such investigations.
KeywordsLangevin equation fractional order the Banach fixed point theorem picard operator
AMS Subject Classification26A33 34A08 34A12
The author would like to thank the referees for his/her careful reading of the paper and for several important suggestions, leading to the paper’s significant improvement.
- 5.Baghani, H., Nieto, J.J.: On fractional Langevin equation involving two fractional orders in different intervals. Nonlinear Anal. Model. Control (accepted) Google Scholar