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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2023 Number 6, Pages 74–88 (Mi ivm9890)

Solvability of iterative system of fractional order differential equations with non-homogeneous boundary conditions

K. R. Prasada, N. Sreedharb, M. Rashmitac

a Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003 India
b Department of Mathematics, School of Science, GITAM (Deemed to be University), Visakhapatnam, 530045 India
c Department of Basic Science and Humanities, Vignan's Institute of Engineering for Women, Visakhapatnam, 530049 India

Abstract: The fixed point theorem of Guo–Krasnosel'skii is applied in this paper to find the intervals of the parameters $\lambda_1,\lambda_2,\ldots,\lambda_m$ that have a positive solution to an iterative system of $n^\text{th}$ order fractional differential equation with three-point boundary conditions with a non-homogeneous term.

Keywords: fractional order derivative, iterative system, non-homogeneous three-point, boundary value problem, kernel, eigenvalues, cone, positive solution.

UDC: 517

Received: 13.10.2022
Revised: 09.11.2022
Accepted: 21.12.2022

DOI: 10.26907/0021-3446-2023-6-74-88



© Steklov Math. Inst. of RAS, 2024