Theory and Modern Applications
Page 91 of 98
This paper deals with the fractional-order linear and nonlinear models used in bioengineering applications and an effective method for their numerical solution. The proposed method is based on the power series...
Nonaxisymmetric solutions to time-fractional diffusion-wave equation with a source term in cylindrical coordinates are obtained for an infinite medium. The solutions are found using the Laplace transform with ...
We study the solvability of the fractional integrodifferential equations of neutral type with infinite delay in a Banach space
. An exis...
The expression and properties of Green's function for a class of nonlinear fractional differential equations with integral boundary conditions are studied and employed to obtain some results on the existence o...
We investigate the mild solutions of a nonlocal Cauchy problem for nonautonomous fractional evolution equations
,
...
We investigate the global existence and uniqueness of solutions for some classes of partial hyperbolic differential equations involving the Caputo fractional derivative with finite and infinite delays. The exi...
This paper is concerned with some oscillation criteria for the second order neutral delay dynamic equations with mixed nonlinearities of the form
By defining a new terminology, scatter degree, as the supremum of graininess functional value, this paper studies the existence of solutions for a nonlinear two-point dynamic boundary value problem on time sca...
By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem
...
We discuss the existence of minimal and maximal positive solutions for fractional differential equations with multipoint boundary value conditions, and new results are given. An example is also given to illust...
This paper discusses the existence of solutions to antiperiodic boundary value problem for nonlinear impulsive fractional differential equations. By using Banach fixed point theorem, Schaefer fixed point theor...
We translate in semigroup theory our result (Léandre, 1990) giving a necessary condition so that the law of a Markov process with jumps could have a strictly positive density. This result express, that we have...
By using variational methods and Morse theory, we study the multiplicity of the periodic solutions for a class of difference equations with double resonance at infinity. To the best of our knowledge, investiga...
We study a nonlocal boundary value problem of impulsive fractional differential equations. By means of a fixed point theorem due to O'Regan, we establish sufficient conditions for the existence of at least one...
Symplectic Difference System and of Its Reciprocal System
We establish a conjugacy criterion for a
symplectic difference system by means of the concept of a phase of any basis of this symplecti...
We study the existence and uniqueness theorem for the nonlinear fractional mixed Volterra-Fredholm integrodifferential equation with nonlocal initial condition
...
-Bernoulli Numbers and
-Bernoulli Polynomials Related to
-Bernstein Polynomials
We present a new generating function related to the
-Bernoulli numbers and
Let
be the set of positive real numbers,
a Banach space,
This paper concerns the oscillation of solutions to the second sublinear dynamic equation with damping
, on an isolated time scale
-Laplacian
We investigate the existence of at least three solutions for a discrete nonlinear Neumann boundary value problem involving the
-Laplacia...
We prove the existence of a Gevrey family of invariant curves for analytic reversible mappings under weaker nondegeneracy condition. The index of the Gevrey smoothness of the family could be any number
Basic theory on a class of initial value problem of some fractional differential equation involving Riemann-Liouville differential operators is discussed by employing the classical approach from the work of La...
An extension of the uniform invariance principle for ordinary differential equations with finite delay is developed. The uniform invariance principle allows the derivative of the auxiliary scalar function
This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence ...
The mean square BIBO stability is investigated for stochastic control systems with mixed delays and nonlinear perturbations. The system with mixed delays is transformed, then a class of suitable Lyapunov funct...
-Times Integrated
-Regularized Semigroups
We present a generation theorem of
-times integrated
-regularized semigroups...
This paper studies a boundary value problem of nonlinear fractional differential equations of order
with three-point integral boundary ...
-Carathéodory Functions
This paper concerns the existence of solutions for two kinds of systems of first-order equations on time scales. Existence results for these problems are obtained with new notions of solution tube adapted to t...
Using the fixed-point theorem, this paper is devoted to study the multiple and single positive solutions of third-order boundary value problems for impulsive differential equations in ordered Banach spaces. Th...
-Asymptotically
-Periodic Solutions of a Class of Fractional Differential Equations
We study the existence of weighted
-asymptotically
-periodic...
The paper is devoted to the study of an approximation process of time optimal control for fractional evolution systems in Banach spaces. We firstly convert time optimal control problem into Meyer problem. By v...
This paper discusses a generalized time-varying SEIR propagation disease model subject to delays which potentially involves mixed regular and impulsive vaccination rules. The model takes also into account the ...
and
We consider the system in the title where the initial condition
We show that the system has exactly two prime period-5 solutions and a unique e...
We first present several existence results and compactness of solutions set for the following Volterra type integral inclusions of the form:
We present a recent approach via variational methods and critical point theory to obtain the existence of solutions for a class of damped vibration problems on time scale
...
The authors employs a hybrid fixed point theorem involving the multiplication of two operators for proving an existence result of locally attractive solutions of a nonlinear quadratic Volterra integral equatio...
By using the multiplier technique, we prove that the energy of a system of two coupled second order evolution equations (one is an integro-differential equation) decays exponentially if the convolution kernel
An easy proof of the John-Nirenberg inequality is provided by merely using the Calderón-Zygmund decomposition. Moreover, an interpolation inequality is presented with the help of the John-Nirenberg inequality.
We consider a difference equation involving three parameters and a piecewise constant control function with an additional positive threshold
A discrete equivalent and not analogue of the well-known logistic differential equation is proposed. This discrete equivalent logistic equation is of the Volterra convolution type, is obtained by use of a func...
This paper presents the necessary and sufficient optimality conditions for fractional variational problems involving the right and the left fractional integrals and fractional derivatives defined in the sense ...
Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact measures and the fixed...
We investigate the monic complex-coefficient polynomial of degree
in the complex variable
...
We consider the stability properties for thermoelastic Bresse system which describes the motion of a linear planar shearable thermoelastic beam. The system consists of three wave equations and two heat equatio...
The initial-boundary value problem for a class of linear and nonlinear equations in Hilbert space is considers. We prove the existence and uniqueness of solution of this problem. The results of this investigat...
The objective of this paper is to study the asymptotic properties of third-order delay trinomial differential equation
. Employing new c...
We use the Krasnoselskii fixed point principle to obtain the existence of pseudo almost automorphic mild solutions to some classes of nonautonomous partial evolutions equations in a Banach space.
We discuss in detail the error bounds for asymptotic solutions of second-order linear difference equation
where
...
We investigate some interesting properties of the Bernstein polynomials related to the bosonic
-adic integrals on
...
-Laplacian Difference Equation with Periodic Coefficients
We study the existence of homoclinic solutions for semilinear
-Laplacian difference equations with periodic coefficients. The proof of t...
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