On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions

Muralee Bala Krushna Boddu; Mahammad Khuddush

doi:10.32323/ujma.1387528

EN

On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions

Abstract

The aim of this paper is to determine the eigenvalue intervals of $\mu_{\mathtt{k}},~1\le \mathtt{k}\le \mathtt{n}$ for which an iterative system of a class of fractional-order differential equations with parameterized integral boundary conditions (BCs) has at least one positive solution by means of standard fixed point theorem of cone type. To the best of our knowledge, this will be the first time that we attempt to reach such findings for the topic at hand in the literature. The obtained results in the paper are illustrated with an example of their feasibility.

Keywords

Boundary value problem, Fixed-point theorems, Fractional derivative, Kernel, Positive solution

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Muralee Bala Krushna Boddu
0000-0001-7426-7451
India

Mahammad Khuddush ^*
0000-0002-1236-8334
India

Early Pub Date

March 10, 2024

Publication Date

March 18, 2024

Submission Date

November 7, 2023

Acceptance Date

March 5, 2024

Published in Issue

Year 2024 Volume: 7 Number: 1

DOI

https://doi.org/10.32323/ujma.1387528

IZ

https://izlik.org/JA64XX54RM

APA

Boddu, M. B. K., & Khuddush, M. (2024). On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions. Universal Journal of Mathematics and Applications, 7(1), 46-58. https://doi.org/10.32323/ujma.1387528

AMA

1.Boddu MBK, Khuddush M. On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions. Univ. J. Math. Appl. 2024;7(1):46-58. doi:10.32323/ujma.1387528

Chicago

Boddu, Muralee Bala Krushna, and Mahammad Khuddush. 2024. “On the Solvability of Iterative Systems of Fractional-Order Differential Equations With Parameterized Integral Boundary Conditions”. Universal Journal of Mathematics and Applications 7 (1): 46-58. https://doi.org/10.32323/ujma.1387528.

EndNote

Boddu MBK, Khuddush M (March 1, 2024) On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions. Universal Journal of Mathematics and Applications 7 1 46–58.

IEEE

[1]M. B. K. Boddu and M. Khuddush, “On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions”, Univ. J. Math. Appl., vol. 7, no. 1, pp. 46–58, Mar. 2024, doi: 10.32323/ujma.1387528.

ISNAD

Boddu, Muralee Bala Krushna - Khuddush, Mahammad. “On the Solvability of Iterative Systems of Fractional-Order Differential Equations With Parameterized Integral Boundary Conditions”. Universal Journal of Mathematics and Applications 7/1 (March 1, 2024): 46-58. https://doi.org/10.32323/ujma.1387528.

JAMA

1.Boddu MBK, Khuddush M. On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions. Univ. J. Math. Appl. 2024;7:46–58.

MLA

Boddu, Muralee Bala Krushna, and Mahammad Khuddush. “On the Solvability of Iterative Systems of Fractional-Order Differential Equations With Parameterized Integral Boundary Conditions”. Universal Journal of Mathematics and Applications, vol. 7, no. 1, Mar. 2024, pp. 46-58, doi:10.32323/ujma.1387528.

Vancouver

1.Muralee Bala Krushna Boddu, Mahammad Khuddush. On the Solvability of Iterative Systems of Fractional-Order Differential Equations with Parameterized Integral Boundary Conditions. Univ. J. Math. Appl. 2024 Mar. 1;7(1):46-58. doi:10.32323/ujma.1387528