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Existence and Uniqueness of Solutions of Fractional Differential Equations with Deviating Arguments under Integral Boundary Conditions

Bakr Rizqan|Dnyanoba Dhaigude
경북대학교 자연과학대학 수학과|2019.03|Kyungpook Mathematical Journal|제59권 제1호|pp. 191-202|DOI 10.5666/KMJ.2019.59.1.191

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참고문헌

키워드

monotone iterative techniqueexistence and uniquenessintegral boundary conditionsRiemann-Liouville fractional derivatives
주제분류수학

초록

The aim of this paper is to develop a monotone iterative technique by introducing upper and lower solutions to Riemann-Liouville fractional differential equations with deviating arguments and integral boundary conditions. As an application of this technique, existence and uniqueness results are obtained.

Abstract

The aim of this paper is to develop a monotone iterative technique by introducing upper and lower solutions to Riemann-Liouville fractional differential equations with deviating arguments and integral boundary conditions. As an application of this technique, existence and uniqueness results are obtained.

참고문헌 (43)

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관련 논문AI추천

INTEGRAL BOUNDARY VALUE PROBLEM FOR SYSTEM OF RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL EQUATIONSJ.A.Nanware장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호Nonlocal boundary value problems for Hilfer fractional differential equationsAtthapol Kijjathanakorn, Jessada Tariboon, Sotiris K. Ntouyas, Suphawat Asawasamrit대한수학회 · 대한수학회보2018 · 제55권 제6호Boundary value problems for differential equations of non-integer order involving Caputo fractional derivativeD.B.Dhaigude, J.A.Nanware장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제3호On nonlinear fractional integro-differential equations with two boundary conditionsMACHINDRA B. DHAKNE, SABRI T. M. THABET장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호Higher order nonlocal nonlinear boundary value problems for fractional differential equationsRahmat Ali Khan대한수학회 · 대한수학회보2014 · 제51권 제2호Existence and Uniqueness of Positive Solutions for a Class of Fractional Differential Equations with a ParameterMartin Bohner, Pengcheng Yuan, Zhaocai Hao강원경기수학회 · 한국수학논문집2025 · 제33권 제4호

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