Some Existence Results on Implicit Fractional Differential Equations

被引：1

作者：

Kharat, V. V. ^{[1
]}

Tate, Shivaji ^{[2
]}

Reshimkar, A. R. ^{[3
]}

机构：

[1] NB Navale Sinhgad Coll Engn, Dept Math, Solapur, MS, India

[2] Kisan Veer Mahavidyalaya, Dept Math, Wai, MS, India

[3] DBF Dayanand Coll Arts & Sci, Dept Math, Solapur, MS, India

来源：

FILOMAT | 2021年 / 35卷 / 12期

关键词：

Fractional differential equations; Green's function; Implicit Fractional Di fferential Equations; INTEGRODIFFERENTIAL EQUATIONS; POSITIVE SOLUTION;

D O I：

10.2298/FIL2112257K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of a solution for the nonlinear implicit fractional differential equation of the type D(alpha)u(t) = f (t, u(t); D(alpha)u(t)), with Riemann-Liouville fractional derivative via the different boundary conditions u(0) = u(T), and the three point boundary conditions u(0) = beta(1)u(eta) and u(T) = beta(2)u(eta), where T > 0, t epsilon I = [0, T]; 0 < alpha< 1, 0 < eta < T, 0 < beta(1) < beta(2) < 1.

引用

页码：4257 / 4265

页数：9

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