Reduced form for the general-state multicenter integral from an integro-differential transform

The analytical solutions for Volterra integro-differential equations within Local fractional operators by Yang-Laplace transform

In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators. This approach provides us with a convenient way to find a solution ...

On an Integro-differential Transform on the Sphere

Abstract. In a recent paper the authors have proved that a convex body K ⊂ R, d ≥ 2, containing the origin 0 in its interior, is symmetric with respect to 0 if and only if Vd−1(K ∩ H ) ≥ Vd−1(K ∩ H) for all hyperplanes H,H ′ such that H and H are parallel and H ∋ 0 (Vd−1 is (d − 1)–measure). For the proof the authors have employed a new type of integro–differential transform, that lets to corre...

An Integro-differential Equation of Volterra Type with Sumudu Transform

In this paper a closed form solution of a fractional integro-differential equation of Volterra type involving Mittag-Leffler function has been obtained using straight forward technique of Sumudu transform. Some particular cases have also been considered.

Reduced form for Coulomb-wave multicenter integrals.

Linear Multistep Methods for Volterra Integral and Integro-Differential Equations

In these appendices we present, successively, I conditions for the existence of a unique solution of (1.1) and (1.2); II three tables of coefficients of forward differentiation formulas, and of two common LM formulas for ODEs, viz., backward differentiation formulas and Adams-Moulton formulas; III two lemmas which are needed in: IV proofs of the main results of this paper, as far as they are no...