On the solutions for generalised multiorder fractional partial differential equations arising in physics
Sunıl Dutt Purohıt, Dumitru Bǎleanu, Kamlesh Jangid
Abstract
In this article, we have studied solutions of a generalised multiorder fractional partial differential equations involving the Caputo time‐fractional derivative and the Riemann–Liouville space fractional derivatives using Laplace–Fourier transform technique. Proposed generalised multiorder fractional partial differential equation is reducible to Schrödinger equation, wave equation and diffusion equation in a more general sense, and hence, solutions of these equations are specifically noted. Not only this, solutions of equation proposed in the stochastic resetting theory in the context of Brownian motion can also be found in a general regime.
Topics & Concepts
MathematicsFractional calculusPartial differential equationFirst-order partial differential equationLaplace's equationMathematical analysisLaplace transformStochastic partial differential equationContext (archaeology)Differential equationPaleontologyBiologyFractional Differential Equations SolutionsNonlinear Waves and SolitonsOrbital Angular Momentum in Optics