Abstract
A method has been derived from Laplace transform that enables the evaluation of Weyl fractional integrals by transforming them into known integrals. This method is adapted and extended in a variety of ways to demonstrate the utility of the method in deriving alternative representations for other classes of integrals. The authors utilised the Feynman integral of quantum electrodynamics and found that they could develop more sophisticated results from this integral, which are given in Appendix C. A list of various fractional integrals evaluated by this technique is presented in Appendix A. 15 refs.
Kowalenko, V;
[1]
Glasser, M L
[2]
- Melbourne Univ., Parkville, VIC (Australia). School of Physics
- Clarkson Univ., Potsdam, NY (United States)
Citation Formats
Kowalenko, V, and Glasser, M L.
Extensions and results from a method for evaluating fractional integrals.
Australia: N. p.,
1994.
Web.
Kowalenko, V, & Glasser, M L.
Extensions and results from a method for evaluating fractional integrals.
Australia.
Kowalenko, V, and Glasser, M L.
1994.
"Extensions and results from a method for evaluating fractional integrals."
Australia.
@misc{etde_10113707,
title = {Extensions and results from a method for evaluating fractional integrals}
author = {Kowalenko, V, and Glasser, M L}
abstractNote = {A method has been derived from Laplace transform that enables the evaluation of Weyl fractional integrals by transforming them into known integrals. This method is adapted and extended in a variety of ways to demonstrate the utility of the method in deriving alternative representations for other classes of integrals. The authors utilised the Feynman integral of quantum electrodynamics and found that they could develop more sophisticated results from this integral, which are given in Appendix C. A list of various fractional integrals evaluated by this technique is presented in Appendix A. 15 refs.}
place = {Australia}
year = {1994}
month = {Dec}
}
title = {Extensions and results from a method for evaluating fractional integrals}
author = {Kowalenko, V, and Glasser, M L}
abstractNote = {A method has been derived from Laplace transform that enables the evaluation of Weyl fractional integrals by transforming them into known integrals. This method is adapted and extended in a variety of ways to demonstrate the utility of the method in deriving alternative representations for other classes of integrals. The authors utilised the Feynman integral of quantum electrodynamics and found that they could develop more sophisticated results from this integral, which are given in Appendix C. A list of various fractional integrals evaluated by this technique is presented in Appendix A. 15 refs.}
place = {Australia}
year = {1994}
month = {Dec}
}