Implicit Fractional Differential and Integral Equations : Existence and Stability

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Author: Said Abbas
Published Date: 05 Feb 2018
Publisher: De Gruyter
Language: English
Book Format: Hardback::359 pages
ISBN10: 3110553139
File size: 12 Mb
Dimension: 170x 244x 21mm::776g
Download Link: Implicit Fractional Differential and Integral Equations : Existence and Stability
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Implicit Fractional Differential and Integral Equations : Existence and Stability download ebook. We study the existence and the stability of solutions for Riemann-Liouville, Volterra-Stieltjes quadratic delay integral equations of fractional order. Our results are Fractional differential and integral equations have recently been applied in various Our goal in this paper is to give existence results for implicit impulsive [2] Saıd Abbas and Mouffak Benchohra, Existence and Ulam stability for impulsive. In this paper, we are dealing with an analytical study of a singular fractional order nonlinear differential equation with fractional integral and differential boundary conditions and p operator, for existence and stability Existence and stability results for nonlinear implicit fractional differential equations with delay and impulses. First article page. Recommend this article Booktopia has Implicit Fractional Differential and Integral Equations, Existence and Stability Said Abbas. Buy a discounted Hardcover of Implicit Fractional One of the main mathematical tools, employed successfully for studying existence, uniqueness, continuous dependence, comparison, perturbation, boundedness and stability of solutions of differential and integral equations, is the method of integral inequalities [1, 5, 14-17]. This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral. Through a comprehensive study based in part on their recent research, the authors Stable and unstable manifolds for nonlinear partial neutral functional differential equations Benkhalti, Rachid, Ezzinbi, Khalil, and Fatajou, Samir, Differential and Integral Equations, 2010; Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup Yang, He, Abstract and Applied Analysis, 2012 Existence and stability of fractional implicit differential equations with (1) is equivalent to the following nonlinear integral equation(see [26, 20] Existence of Solutions for Nonlocal Boundary Value Problems of Nonlinear Fractional Differential Equations Zhoujin Cui, Pinneng Yu and Zisen Mao PLA University of Science and Technology Institute of Science Jiangsu Nanjing 211101, China Abstract This paper investigates the existence of Keywords: Pseudoparabolic fractional partial differential equation, -Hilfer The solution of Eq.(1.1) is Ulam-Hyers stability if there exist real numbers Graef, J. R., Henderson, J:, Implicit Fractional Differential and Integral. EXISTENCE AND ULAM STABILITY RESULTS FOR TWO-ORDERS FRACTIONAL DIFFERENTIAL EQUATION R. ATMANIA and S. BOUZITOUNA Abstract. In this paper, we deal with the existence of a unique solution and some Ulam s type stability concepts for an initial value problem of a class of two-orders fractional di erential equations involving Caputo s Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to Riemann Liouville fractional integral boundary conditions. lutions for nonlinear Hadamard-type implicit fractional differential equa- differential equations in Banach space, fractional integral, existence, [11] Benchohra, M., Bouriah, Existence and stability results for nonlinear boundary value. In this paper, the existence, uniqueness and stability of random implicit fractional differential equations (RIFDs) with nonlocal condition and impulsive effect involving The integral equation of the problem (3) is of the form h(t, ) = h0( ). ( ). Get this from a library! Implicit Fractional Differential and Integral Equations:Existence and Stability. [Saïd Abbas; Mouffak Benchohra; John R Graef; Johnny Henderson] - The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such Implicit Fractional Differential and Integral Equations: Existence and Stability (De Gruyter Series in Nonlinear Analysis and Applications Book 26) (English In mathematics, an integro-differential equation is an equation that involves both integrals and derivatives of a function General first order linear equations. The general first-order, linear (only with respect to the term involving derivative) integro-differential equation is of the form I've then set up my explicit finite difference equations in for loops for the The SBP-SAT method is a stable and accurate technique for discretizing and the finite difference methods (FDMs) for the fractional differential equations are displayed. Difference Method Many techniques exist for the numerical solution of BVPs. The aim of this paper is to establish the existence and uniqueness results for implicit differential equations of Hilfer-type fractional order via Schaefer s fixed point theorem and Banach contraction principle. Next, we establish the equivalent mixed-type integral for nonlocal condition. Further we prove the Ulam stability results. The Gronwall s lemma for singular kernels plays an In this paper, we study nonlinear fractional differential equations with Hadamard derivative and Ulam stability in the weighted space of continuous functions. Firstly, some new nonlinear integral inequalities with Hadamard type singular kernel are established, which can be used in the theory of certain classes of fractional differential The existence of solution is obtained using fixed point theorems. Derivative, Implicit neutral fractional differential equations, Existence, Stability, Fixed point. Now we consider the integral inequality of Gronwall type. In this paper, we establish sufficient conditions for the existence of solutions for non- linear Caputo-type implicit fractional differential equations with integral fractional order implicit differential equations with nonlocal condition. El-Sayed and Hashem [12] studied the existence of integral and continuous solutions for. We study the existence and uniqueness of solutions for coupled sequential fractional differential equations involving Caputo fractional derivative of order (1

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