Eigenvalue intervals of parameters for iterative systems of nonlinear Hadamard fractional boundary value problems

Muralee Bala Krushna, Boddu; Mahammad, Khuddush; Rajendra Prasad, Kapula

doi:10.22034/cmde.2024.57505.2407

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	Eigenvalue intervals of parameters for iterative systems of nonlinear Hadamard fractional boundary value problems
Computational Methods for Differential Equations
مقاله 12، دوره 12، شماره 4، دی 2024، صفحه 791-807 اصل مقاله (397.6 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.57505.2407
نویسندگان
Boddu Muralee Bala Krushna¹؛ Khuddush Mahammad^* ²؛ Kapula Rajendra Prasad³
¹Department of Mathematics, MVGR College of Engineering(Autonomous), Vizianagaram, 535005, India.
²Department of Mathematics, Chegg India Pvt. Ltd., Visakhapatnam, 530002, Andhra Pradesh, India.
³Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India.
چکیده
This study uses a classic fixed point theorem of cone type in a Banach space to identify the eigenvalue intervals of parameters for which an iterative system of a Hadamard fractional boundary value problem has at least one positive solution. To the best of our knowledge, no attempt has been made to obtain such results for Hadamard-type problems in the literature. We provided an example to illustrate the feasibility of our findings in order to show how effective they are.
کلیدواژه‌ها
Hadamard fractional derivative, Boundary value problem؛ Kernel, Fixed-point theorems, Positive solution

مراجع
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Eigenvalue intervals of parameters for iterative systems of nonlinear Hadamard fractional boundary value problems