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A Further Study of Almost Periodic Time Scales with Some Notes and Applications

Received 2 June 2014; Revised 10 July 2014; Accepted 13 July 2014; Published 7 August 2014 Academic Editor: Elena Braverman Copyright © 2014 Chao Wang and Ravi P. Agarwal. This is an open access article

Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces

University, Arak Branch, Arak, Iran Received 17 March 2014; Accepted 18 April 2014; Published 21 May 2014 Academic Editor: Wei-Shih Du Copyright © 2014 Ravi P. Agarwal et al. This is an open access

Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces

University, Arak Branch, Arak, Iran Received 17 March 2014; Accepted 18 April 2014; Published 21 May 2014 Academic Editor: Wei-Shih Du Copyright © 2014 Ravi P. Agarwal et al. This is an open access

Existence Theory for -Antiperiodic Boundary Value Problems of Sequential -Fractional Integrodifferential Equations

Arabia Received 21 February 2014; Accepted 3 April 2014; Published 30 April 2014 Academic Editor: Erdal Karapinar Copyright © 2014 Ravi P. Agarwal et al. This is an open access article distributed

Nonlocal Integrodifferential Boundary Value Problem for Nonlinear Fractional Differential Equations on an Unbounded Domain

This paper investigates the existence of nonnegative solutions for nonlinear fractional differential equations with nonlocal fractional integrodifferential boundary conditions on an unbounded domain by means of Leray-Schauder nonlinear alternative theorem. An example is discussed for the illustration of the main work.

The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite Delay

We prove the existence and uniqueness of solutions for two classes of infinite delay nonlinear fractional order differential equations involving Riemann-Liouville fractional derivatives. The analysis is based on the alternative of the Leray-Schauder fixed-point theorem, the Banach fixed-point theorem, and the Arzela-Ascoli theorem in such that is continuous and is a phase space.

The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite Delay

We prove the existence and uniqueness of solutions for two classes of infinite delay nonlinear fractional order differential equations involving Riemann-Liouville fractional derivatives. The analysis is based on the alternative of the Leray-Schauder fixed-point theorem, the Banach fixed-point theorem, and the Arzela-Ascoli theorem in such that is continuous and is a phase space.

Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String

We introduce the wave equation in fractal vibrating string in the framework of the local fractional calculus. Our particular attention is devoted to the technique of the local fractional Fourier series for processing these local fractional differential operators in a way accessible to applied scientists. By applying this technique we derive the local fractional Fourier series...

Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations

Received 5 March 2012; Accepted 20 June 2012 Academic Editor: Simeon Reich Copyright © 2012 Ravi P. Agarwal et al. This is an open access article distributed under the Creative Commons Attribution

Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations

Received 5 March 2012; Accepted 20 June 2012 Academic Editor: Simeon Reich Copyright © 2012 Ravi P. Agarwal et al. This is an open access article distributed under the Creative Commons Attribution

On the Dimension of the Solution Set for Semilinear Fractional Differential Inclusions

Received 24 January 2012; Accepted 11 March 2012 Academic Editor: Ngai-Ching Wong Copyright © 2012 Ravi P. Agarwal et al. This is an open access article distributed under the Creative Commons

On Integral Transforms and Matrix Functions

The Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping.

On Random Topological Structures

; Accepted 6 April 2011 Academic Editor: Alexander I. Domoshnitsky Copyright © 2011 Ravi P. Agarwal et al. This is an open access article distributed under the Creative Commons Attribution License, which

On Random Topological Structures

; Accepted 6 April 2011 Academic Editor: Alexander I. Domoshnitsky Copyright © 2011 Ravi P. Agarwal et al. This is an open access article distributed under the Creative Commons Attribution License, which

Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming

Applications, Thapar University, Patiala 147 004, India Received 30 December 2010; Accepted 24 January 2011 Academic Editor: Elena Litsyn Copyright © 2011 Ravi P. Agarwal et al. This is an open access ... duality in mathematical programming can be further extended to higher-order multiobjective symmetric dual programs formulated in [19]. Acknowledgments Ravi P. Agarwal and Izhar Ahmad are thankful to the

Asymptotically Linear Solutions for Some Linear Fractional Differential Equations

We establish here that under some simple restrictions on the functional coefficient the fractional differential equation , has a solution expressible as for , where designates the Riemann-Liouville derivative of order and .

Asymptotically Linear Solutions for Some Linear Fractional Differential Equations

We establish here that under some simple restrictions on the functional coefficient the fractional differential equation , has a solution expressible as for , where designates the Riemann-Liouville derivative of order and .

General existence principles for nonlocal boundary value problems with φ-Laplacian and their applications

Staneˇk: Department of Mathematical Analysis, Faculty of Science, Palacky ́ University , Tomkova 40, 779 00 Olomouc , Czech Republic E-mail address: 1 Ravi P. Agarwal: Department of Mathematical Sciences

General existence principles for nonlocal boundary value problems with φ-Laplacian and their applications

The paper presents general existence principles which can be used for a large class of nonlocal boundary value problems of the form (φ(x′))′=f1(t,x,x′)