Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions

In this paper, we investigate the existence of positive solutions for the boundary value problem of nonlinear fractional differential equation with mixed fractional derivatives and p-Laplacian operator. Then we establish two smart generalizations of Lyapunov-type inequalities. Some applications are given to demonstrate the effectiveness of the new results.

متن کامل

Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions

where q : [a,b] → R is a continuous function, and the zeros a and b of every solution y(t) are consecutive. Since then, many generalizations of the Lyapunov inequality have appeared in the literature (see [–] and the references therein). Recently, the research of Lyapunov-type inequalities for fractional boundary value problem has begun. In [], Ferreira investigated a Lyapunov-type inequali...

متن کامل

Lyapunov-type Inequalities for Α-th Order Fractional Differential Equations with 2 < Α ≤ 3 and Fractional Boundary Conditions

We study linear fractional boundary value problems consisting of an α-th order Riemann-Liouville fractional differential equation with 2 < α ≤ 3 and certain fractional boundary conditions. We derive several Lyapunovtype inequalities and apply them to establish nonexistence, uniqueness, and existence-uniqueness of solutions for related homogeneous and nonhomogeneous linear fractional boundary va...

متن کامل

Mixed Problem with Nonlocal Boundary Conditions for a Third-order Partial Differential Equation of Mixed Type

We study a mixed problem with integral boundary conditions for a third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem. 2000 Mathematics Subject Classification. 35B45, 35K20, 35M10.

متن کامل

Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions

*Correspondence: [email protected] 1College of Mathematics and System Science, Shandong University of Science and Technology, Qianwangang Road, Qingdao, 266590, P.R. China Full list of author information is available at the end of the article Abstract In this paper, the existence and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of f...

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: Mathematical Inequalities & Applications

سال: 2015

ISSN: 1331-4343

DOI: 10.7153/mia-18-33