Positive Solutions to a Fractional-Order Two-Point Boundary Value Problem with p-Laplacian Operator

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator

We investigate the existence ofmultiple positive solutions for three-point boundary value problemof fractional differential equation with p-Laplacian operator −Dt β (φp(Dt α x))(t) = h(t)f(t, x(t)), t ∈ (0, 1), x(0) = 0,Dt γ x(1) = aDt γ x(ξ),Dt α x(0) = 0, where Dt β ,Dt α ,Dt γ are the standard Riemann-Liouville derivatives with 1 < α ≤ 2, 0 < β ≤ 1, 0 < γ ≤ 1, 0 ≤ α − γ − 1, ξ ∈ (0, 1) and t...

متن کامل

Two positive solutions for a nonlinear four - point boundary value problem with a p - Laplacian operator ∗

In this paper, we study the existence of positive solutions for a nonlinear fourpoint boundary value problem with a p-Laplacian operator. By using a three functionals fixed point theorem in a cone, the existence of double positive solutions for the nonlinear four-point boundary value problem with a p-Laplacian operator is obtained. This is different than previous results.

متن کامل

Triple positive solutions of $m$-point boundary value problem on time scales with $p$-Laplacian

‎In this paper‎, ‎we consider the multipoint boundary value problem for one-dimensional $p$-Laplacian‎ ‎dynamic equation on time scales‎. ‎We prove the existence at least three positive solutions of the boundary‎ ‎value problem by using the Avery and Peterson fixed point theorem‎. ‎The interesting point is that the non-linear term $f$ involves a first-order derivative explicitly‎. ‎Our results ...

متن کامل

Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator

We consider the existence and multiplicity of concave positive solutions for boundary value problem of nonlinear fractional differential equation with p-Laplacian operatorD 0 φp D α 0 u t f t, u t , D 0 u t 0, 0 < t < 1, u 0 u ′ 1 0, u′′ 0 0, D 0 u t |t 0 0, where 0 < γ < 1, 2 < α < 3, 0 < ρ 1, D 0 denotes the Caputo derivative, and f : 0, 1 × 0, ∞ × R → 0, ∞ is continuous function, φp s |s|p−2...

متن کامل

POSITIVE SOLUTIONS OF FOUR-POINT BOUNDARY-VALUE PROBLEMS FOR HIGHER-ORDER WITH p-LAPLACIAN OPERATOR

In this paper, we study the existence of positive solutions for nonlinear four-point singular boundary-value problems for higher-order equation with the p-Laplacian operator. Using the fixed-point index theory, we find conditions for the existence of one solution, and of multiple solutions.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: ISRN Mathematical Analysis

سال: 2013

ISSN: 2090-4665

DOI: 10.1155/2013/898206