TY - JOUR
A2 - Jafari, H.
A2 - Baleanu, D.
AU - Zhukovsky, K.
PY - 2014
DA - 2014/04/30
TI - Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators
SP - 454865
VL - 2014
AB - We present a general method of operational nature to analyze and obtain solutions for a variety of equations of mathematical physics and related mathematical problems. We construct inverse differential operators and produce operational identities, involving inverse derivatives and families of generalised orthogonal polynomials, such as Hermite and Laguerre polynomial families. We develop the methodology of inverse and exponential operators, employing them for the study of partial differential equations. Advantages of the operational technique, combined with the use of integral transforms, generating functions with exponentials and their integrals, for solving a wide class of partial derivative equations, related to heat, wave, and transport problems, are demonstrated.
SN - 2356-6140
UR - https://doi.org/10.1155/2014/454865
DO - 10.1155/2014/454865
JF - The Scientific World Journal
PB - Hindawi Publishing Corporation
KW -
ER -