Study of new monotone iterative technique for a class of arbitrary order differential equations

Haq, Fazal; Akram, Mohammad; Shah, Kamal; Rahman, Ghaus

doi:10.22034/cmde.2020.29957.1442

Study of new monotone iterative technique for a class of arbitrary order differential equations

Document Type : Research Paper

Authors

¹ Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan.

² Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Kingdom of Saudi Arabia.

³ Department of Mathematics, University of Malakand, Dir(Lower), KPK, Pakistan.

10.22034/cmde.2020.29957.1442

Abstract

In this paper, we apply new type monotone iterative technique which is very rarely used to find iterative solutions for boundary value problem (BVPs) of nonlinear fractional order differential equations (NFODEs). With the help of the aforesaid technique, we establish two sequences of upper and lower solutions for the considered BVP. Further the procedure is testified by providing suitable examples.

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