https://doi.org/10.1140/epjp/i2018-12081-3
Regular Article
Analysis of a fractional model of the Ambartsumian equation
1
Department of Mathematics, JECRC University, Jaipur, 303905, Rajasthan, India
2
Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Eskisehir Yolu 29. Km, Yukarıyurtcu Mahallesi Mimar Sinan Caddesi No., 4 06790, Etimesgut, Turkey
3
Institute of Space Sciences, Magurele-Bucharest, Romania
4
Department of Physics, Vivekananda Global University, 303012, Jaipur, Rajasthan, India
* e-mail: jagdevsinghrathore@gmail.com
Received:
9
March
2018
Accepted:
29
May
2018
Published online:
16
July
2018
The prime target of this work is to investigate a fractional model of the Ambartsumian equation. This equation is very useful to describe the surface brightness of the Milky Way. The Ambartsumian equation of fractional order is solved with the aid of the HATM. The solution is presented in terms of the power series, which is convergent for all real values of variables and parameters. The outcomes drawn with the help of the HATM are presented in the form of graphs.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018
