Abstract

S. Harikrishnan E. M. Elsayed K. Kanagarajan

In this paper, the broad study depends on Langevin differential equations (LDE) of arbitrary order. The fractional order is in terms of ψ-Hilfer fractional operator. This work reveals the dynamical behaviour such as existence, uniqueness and stability solutions for LDE involving ψ-Hilfer fractional erivative (HFD). Thus the fractional LDE with boundary condition, impulsive effect and nonlocal conditions are taken in account to prove the results.

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