Abstract
In this paper we study the iterative system of nonlinear two-point tempered fractional order boundary value problems. By means of Krasnoselskii’s fixed point theorem on cone, some existence results of positive solutions are obtained. The proofs are based upon the reduction of problem considered to the equivalent Fredholm integral equation of second kind. Further, we study the existence of unique solution by an application of Rus’s theorem and Hyers-Ulam stability of the adderessed problem for .
Acknowledgment
The authors appreciate the referees’ insightful remarks and recommendations, which helped make the article better. The author is thankful to Dr. Lankapalli Bullayya College of Engineering for the support given throughout the writing of this paper.
Citation
Mahammad Khuddush. "Existence of solutions to the iterative system of nonlinear two-point tempered fractional order boundary value problems." Adv. Studies: Euro-Tbilisi Math. J. 16 (2) 97 - 114, June 2023. https://doi.org/10.32513/asetmj/193220082319
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