A General Study on Langevin Equations of Arbitrary Order

  • Elsayed M. Elsayed King AbdulAziz University
  • S. Harikrishnan
  • K. Kanagarajan
Keywords: Langevin differential equations, Fractional calculus, Existence, Stability


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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