Averaging Method for Neutral Stochastic Delay Differential Equations Driven by Fractional Brownian MotionRead the full article
Journal of Function Spaces publishes research on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines.
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On Best Proximity Point Results for Some Type of Mappings
In this paper, we give new conditions for existence and uniqueness of a best proximity point for Geraghty- and Caristi-type mappings. The presented results are most valuable generalizations of the Geraghty and Caristi fixed point theorems.
The Compact Finite Difference Method of Two-Dimensional Cattaneo Model
In this paper, we propose and analyze the compact finite difference scheme of the two-dimensional Cattaneo model. The stability and convergence of the scheme are proved by the energy method, the convergence orders are in time and in space. We also use the variables separation method to find the true solution of the problem. On this basis, the validity and accuracy of the scheme are verified by numerical experiments.
On Transformation Involving Basic Analogue of Multivariable -Function
In this article, fractional order -integrals and -derivatives involving a basic analogue of multivariable -function have been obtained. We give an application concerning the basic analogue of multivariable -function and -extension of the Leibniz rule for the fractional -derivative for a product of two basic functions. We also give the corollary concerning basic analogue of multivariable Meijer’s -function as a particular case of the main result.
Bounds of a Unified Integral Operator via Exponentially -Convexity and Their Consequences
Various known fractional and conformable integral operators can be obtained from a unified integral operator. The aim of this paper is to find bounds of this unified integral operator via exponentially -convex functions. The resulting bounds provide compact formulas for the bounds of associated fractional and conformable integral operators. Several Hadamard-type inequalities have been produced from a compact version for unified integral operators for exponentially -convex functions.
Multiple Positive Solutions for a System of Nonlinear Caputo-Type Fractional Differential Equations
By using fixed-point index theory, we consider the existence of multiple positive solutions for a system of nonlinear Caputo-type fractional differential equations with the Riemann-Stieltjes boundary conditions.
Inelastic Interaction and Blowup New Solutions of Nonlinear and Dispersive Long Gravity Waves
In this paper, the fractional Broer–Kaup (BK) system is investigated by studying its novel computational wave solutions. These solutions are constructed by applying two recent analytical schemes (modified Khater method and sech–tanh function expansion method). The BK system simulates the bidirectional propagation of long waves in shallow water. Moreover, it is used to study the interaction between nonlinear and dispersive long gravity waves. A new fractional operator is used to convert the fractional form of the BK system to a nonlinear ordinary differential system with an integer order. Many novel traveling wave solutions are constructed that do not exist earlier. These solutions are considered the icon key in the inelastic interaction of slow ions and atoms, where they were able to explain the physical nature of the nuclear and electronic stopping processes. For more illustration, some attractive sketches are also depicted for the interpretation physically of the achieved solutions.