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http://dx.doi.org/10.14403/jcms.2022.35.1.53

STUDIES ON MONOTONE ITERATIVE TECHNIQUE FOR NONLINEAR SYSTEM OF INITIAL VALUE PROBLEMS  

Nanware, J.A. (Department of PG Studies and Research in Mathematics Shrikrishna Mahavidyalaya)
Gadsing, M.N. (Department of Mathematics Jawahar College)
Publication Information
Journal of the Chungcheong Mathematical Society / v.35, no.1, 2022 , pp. 53-67 More about this Journal
Abstract
Nonlinear system of initial value problems involving R-L fractional derivative is studied. Monotone iterative technique coupled with lower and upper solutions is developed for the problem. It is successfully applied to study qualitative properties of solutions of nonlinear system of initial value problem when the function on the right hand side is nondecreasing.
Keywords
monotone iterative technique; lower-upper solutions; initial value problems; fractional differential equations;
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