Analytic solution of the generalized  Bratu-type fractional differential  equation utilizing the q-HATM within  the framework of the  Yang-Abdel-Cattani operator

Affreen  Gauri; RAVI SHANKER DUBEY; M. P. Yadav

doi:10.5269/bspm.77578

Analytic solution of the generalized Bratu-type fractional differential equation utilizing the q-HATM within the framework of the Yang-Abdel-Cattani operator

Analytic solution of the generalized Bratu-type fractional differential eqation

Affreen Gauri Amity University Rajasthan and Vivekananda Global University, India.
RAVI SHANKER DUBEY AMITY University Rajasthan, Jaipur, India
M. P. Yadav Amity University Rajasthan, India

DOI: https://doi.org/10.5269/bspm.77578

Resumo

In this work, we review the generalized Bratu-type fractional differen
tial equation with the help of the Yang-Abdel-Cattani (YAC) fractional
derivative operator. This strategy is innovative and allows you to handle
challenges in fractional calculus much better. By using the q-Homotopy
Analysis Transform Method (q-HATM), we are able to get an analytical
solution to the study equation. We also research and examine some unique
examples of the generalized fractional Bratu equation. These cases show
how easily and reliably the solution technique works in different condi
tions. All in all, our study brings new knowledge to the study of Bratu
type equations using fractional calculus.