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In this paper we obtain approximate bound state solutions of $N$-dimensionalfractional time independent Schr\"{o}dinger equation for generalised Mie-typepotential, namely $V(r^{\alpha})=\frac{A}{r^{2\alpha}}+\frac{B}{r^{\alpha}}+C$.Here $\alpha(0<\alpha<1)$ acts like a fractional parameter for the spacevariable $r$. When $\alpha=1$ the potential converts into the original form ofMie-type of potential that is generally studied in molecular and chemicalphysics. The entire study is composed with Jumarie type fractional derivativeapproach. The solution is expressed via Mittag-Leffler function andfractionally defined confluent hypergeometric function. To ensure the validityof the present work, obtained results are verified with the previous works fordifferent potential parameter configurations, specially for $\alpha=1$. At theend, few numerical calculations for energy eigenvalue and bound stateseigenfunctions are furnished for a typical diatomic molecule.

journal of mathematical physics

Time independent fractional Schrodinger equation for generalized  Mie-type potential in higher dimension framed with Jumarie type fractional  derivative

Time independent fractional Schrodinger equation for generalized Mie-type potential in higher dimension framed with Jumarie type fractional derivative

Time independent fractional Schrodinger equation for generalized Mie-type potential in higher dimension framed with Jumarie type fractional derivative