On partial fractional Sturm–Liouville equation and inclusion

Advances in Difference Equations

article

Charandabi, Zohreh Zeinalabedini¹  Mohammadi, Hakimeh²  Rezapour, Shahram³  Masiha, Hashem Parvaneh⁵ 

[1] Department of Mathematics, Tabriz Branch, Islamic Azad University;Department of Mathematics, Miandoab Branch, Islamic Azad University;Department of Mathematics, Azarbaijan Shahid Madani University;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, K. N. Toosi University of Technology

关键词: α;    ψ -contractive map;    Inclusion problem;    The Caputo derivative;    The partial fractional Sturm–Liouville equation;    Two variables partial differential equation;   

DOI  :  10.1186/s13662-021-03478-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The Sturm–Liouville differential equation is one of interesting problems which has been studied by researchers during recent decades. We study the existence of a solution for partial fractional Sturm–Liouville equation by using the α-ψ-contractive mappings. Also, we give an illustrative example. By using the α-ψ-multifunctions, we prove the existence of solutions for inclusion version of the partial fractional Sturm–Liouville problem. Finally by providing another example and some figures, we try to illustrate the related inclusion result.

【 授权许可】

CC BY