اخبار و اعلانات

 آمار

تعداد نشریات24
تعداد شماره‌ها867
تعداد مقالات7,776
تعداد مشاهده مقاله13,950,324
تعداد دریافت فایل اصل مقاله11,953,764
Nyamoradi, N., Alaei Dizaji, H.. (1393). Existence solutions for nonlocal fractional differential equation with nonlinear boundary conditions. , 38(4), 455-461. doi: 10.22099/ijsts.2014.2562
N. Nyamoradi; H. Alaei Dizaji. "Existence solutions for nonlocal fractional differential equation with nonlinear boundary conditions". , 38, 4, 1393, 455-461. doi: 10.22099/ijsts.2014.2562
Nyamoradi, N., Alaei Dizaji, H.. (1393). 'Existence solutions for nonlocal fractional differential equation with nonlinear boundary conditions', , 38(4), pp. 455-461. doi: 10.22099/ijsts.2014.2562
Nyamoradi, N., Alaei Dizaji, H.. Existence solutions for nonlocal fractional differential equation with nonlinear boundary conditions. , 1393; 38(4): 455-461. doi: 10.22099/ijsts.2014.2562

Existence solutions for nonlocal fractional differential equation with nonlinear boundary conditions

Iranian Journal of Science
مقاله 8، دوره 38، شماره 4، اسفند 2014، صفحه 455-461    اصل مقاله (435.64 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2014.2562
نویسندگان
N. Nyamoradi* 1؛ H. Alaei Dizaji2
1Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
2Department of Mathematics, Payame Noor University, Iran
چکیده
 
In this paper, by employing the Guo-Krasnoselskii fixed point theorem in a cone, we study the existence of positive solutions to the following nonlocal fractional boundary value problems
{ 𝐷0+ 𝛼 𝑢(𝑡) = 𝑓(𝑡, 𝑢(𝑡)), 𝑡 ∈ (0,1), 𝑢𝑡 + 𝑢′(0) = 12 [𝐻1(𝜑𝑢) + ∫ 𝐻2 𝐸(𝑠 𝑢𝑠)𝑑𝑠 , 𝑢1) + 𝑢′(1) = 0, c
where c𝐷0+ 𝛼is the standard Caputo derivative of order 𝛼 1 < 𝛼< 2, 𝐸⊆ (0,1) is some measurable set. We provide conditions on 𝑓 𝐻1, 𝐻2 and 𝜑such that the problem exhibits at least one positive solution.
کلیدواژه‌ها
Cone؛ fixed point theorem؛ standard Caputo؛ Derivative
آمار
تعداد مشاهده مقاله: 1,775
تعداد دریافت فایل اصل مقاله: 2,146


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب