Extremal Solutions and Relaxation Problems for Fractional Differential Inclusions

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

Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations

In this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation$$int_{0}^{1}b(q)D^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$using a fixed point theorem in the Banach algebras. This proof is given in two cases of the continuous and discontinuous function $g$, under the generalized Lipschitz and Caratheodory conditions.

متن کامل

Relaxation Problems Involving Second-Order Differential Inclusions

and Applied Analysis 3 moreover we summarize some properties of a Hartman-type function. Lemma 4 (see [8]). LetG : I×I → R be the function defined as follows: as 0 ≤ t < η, G (t, τ) = { { { { { { { { { {

متن کامل

Existence of Solutions for Fractional Differential Inclusions with Boundary Conditions

This article concerns the existence of solutions for fractional-order differential inclusions with boundary-value conditions. The main tools are based on fixed point theorems due to Bohnerblust-Karlin and Leray-Schauder together with a continuous selection theorem for upper semi-continuous multivalued maps.

متن کامل

Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions

and Applied Analysis 3 Lemma 8 (Schmitt [27]). Let V be a real reflexive Banach space. Let G : R × V to V be completely continuous, and let a, b ∈ R (a < b) be such that the solution of (10) is, a priori, bounded inV for λ = a and λ = b; that is, there exists anR > 0 such that G (a, u) ̸ = u ̸ = G (b, u) (13) for all u with ‖u‖ ≥ R. Furthermore, assume that deg (I − G (a, ⋅) , BR (0) , 0) ̸ = deg ...

متن کامل

Boundary Value Problems for Fractional Differential Inclusions in Banach Spaces

This paper is concerned with the existence of solutions of nonlinear fractional differential inclusions with boundary conditions in a Banach space. The main result is obtained by using the set-valued analog of Mönch fixed point theorem combined with the Kuratowski measure of noncompactness. Mathematics subject classification (2010): 26A33, 34A60, 34B15.

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: Abstract and Applied Analysis

سال: 2013

ISSN: 1085-3375,1687-0409

DOI: 10.1155/2013/292643