Singular boundary value problems on time scales with iterative terms

Krishna, M. V. Rama; Vali, Shaik Kalesha; Khuddush, Mahammad

doi:10.22034/cmde.2025.64383.2919

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	Singular boundary value problems on time scales with iterative terms
Computational Methods for Differential Equations
مقاله 6، دوره 14، شماره 4، دی 2026، صفحه 1613-1627 اصل مقاله (469.85 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.64383.2919
نویسندگان
M. V. Rama Krishna¹؛ Shaik Kalesha Vali²؛ Mahammad Khuddush^* ³
¹Department of Mathematics, Government Degree College, Sabbavaram, Anakapalli, 531035, India.
²Department of Mathematics, JNTU Vizianagaram, 535003, India.
³1. Department of Mathematics, Vignan’s Institute of Information Technology (Autonomous), Visakhapatnam 530049, Andhra Pradesh, India. 2. School of Sciences, Woxsen University, Hyderabad 502345, Telangana, India.
چکیده
This paper investigates the existence of multiple positive solutions for a class of singular two-point boundary value problems defined on time scales. Utilizing Hölder’s inequality together with Krasnoselskii’s fixed-point theorem in the context of a Banach space, we establish new sufficient conditions that guarantee the existence of countably infinite positive solutions. To demonstrate the practical applicability of our theoretical findings, we provide a concrete example that illustrates the effectiveness of the proposed approach.
کلیدواژه‌ها
Fractional derivative؛ Boundary value problem؛ Kernel؛ Fixed-point theorems؛ Positive solution

مراجع
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Singular boundary value problems on time scales with iterative terms