Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space

المؤلفون المشاركون

Liu, Yansheng
Liu, Bo

المصدر

Journal of Function Spaces and Applications

العدد

المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-9، 9ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2013-08-01

دولة النشر

مصر

عدد الصفحات

9

التخصصات الرئيسية

الرياضيات

الملخص EN

This paper investigates the existence of positive solutions to a two-point boundary value problem (BVP) for singular fractional differential equations in Banach space and presents a number of new results.

First, by constructing a novel cone and using the fixed point index theory, a sufficient condition is established for the existence of at least two positive solutions to the approximate problem of the considered singular BVP.

Second, using Ascoli-Arzela theorem, a sufficient condition is obtained for the existence of at least two positive solutions to the considered singular BVP from the convergent subsequence of the approximate problem.

Finally, an illustrative example is given to support the obtained new results.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Liu, Bo& Liu, Yansheng. 2013. Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-482866

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Liu, Bo& Liu, Yansheng. Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-482866

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Liu, Bo& Liu, Yansheng. Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-482866

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-482866