Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations
عنوان مقاله: Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations
شناسه ملی مقاله: JR_CMDE-5-2_005
منتشر شده در در سال 1396
شناسه ملی مقاله: JR_CMDE-5-2_005
منتشر شده در در سال 1396
مشخصات نویسندگان مقاله:
- - - Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
- - - Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
- - - Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
خلاصه مقاله:
- - - Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
- - - Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
- - - Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
This article is devoted to the study of existence and multiplicity of positive solutions to a class of nonlinear fractional order multi-point boundary value problems of the type−Dq۰+u(t) = f(t, u(t)), ۱ < q ≤ ۲, ۰ < t < ۱,u(۰) = ۰, u(۱) =m−۲∑ i=۱δiu(ηi),where Dq۰+ represents standard Riemann-Liouville fractional derivative, δi, ηi ∈ (۰, ۱) withm−۲∑i=۱δiηi q−۱ < ۱, and f : [۰, ۱] × [۰, ∞) → [۰, ∞) is a continuous function. We use some classical results of fixed point theory to obtain sufficient conditions for the existence and multiplicity results of positive solutions to the problem under consideration. In order to show the applicability of our results, we provide some examples.
کلمات کلیدی: Fractional differential equations, Boundary value problems, Positive solutions, Green’s function, fixed point theorem
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1598136/