ON COUPLED SYSTEM OF NONLINEAR HYBRID DIFFERENTIAL EQUATION WITH ARBITRARY ORDER
Journal Title: Matrix Science Mathematic | Matriks Sains Matematik (MSMK) - Year 2017, Vol 1, Issue 2
Abstract
This paper is devoted to the study of the existence of solution to the following toppled system: ()0( ), ()1( ). ()0( ), ()1( ), ,()([ )] (,( ), ,)),( ,()([ )] (,( ), ,)),( 11 22 11 22 yyyy xxxx tftyD yt JttxItxtg tftxD xt JttyItytg Where D stands for Cupoto fractional derivative of order , where 21 , J 1,0[ ], and the functions : fRRRJf 0)0,0(, and : RRRJg satisfy certain conditions. The proof of the existence theorem is based on a coupled fixed-point theorem of Krasnoselskii type, which extends a fixed-point theorem of Burton. Finally, our results are illustrated by a concrete example.
Authors and Affiliations
Sajad Ali Khan, Kamal Shah, Rahmat Ali Khan
Keywords
Related Articles
- EP ID EP263701
- DOI 10.26480/msmk.02.2017.11.16
- Views 77
- Downloads 0
BINARY SOFT PRE-SEPARATION AXIOMS IN BINARY SOFT TOPOLOGICAL SPACES
In this article, we introduce binary soft pre-separation axioms in binary soft Topological space along with several properties of binary soft pre τ△i , i = 0; 1; 2, binary soft pre-regular, binary soft pre τ△3 , binary...
EXISTENCE OF SOLUTIONS TO A BOUNDARY VALUE PROBLEM OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS USING DEGREE METHOD
The main purpose of this research paper is to prove the existence of solution to the hybrid differential equation of order , which satisfied some growth conditions. The concerned results are obtained via using prior esti...
Jackknife Replication Variance Estimation of Population Total Under Systematic Sampling With Varying Probabilities
Systematic sampling with probability proportional to size either randomized or non-randomized, has been used in a number of large scale household survey. Even this sampling technique has been widely used in forestry for...
P-SEPARATION AXIOMS IN SUPRA SOFT TOPOLOGICAL SPACE
The central objective of this article is to introduce soft pre P-separations in soft supra topological spaces. We discuss soft P-separations in soft supra topological spaces with respect to ordinary points and soft point...
Investigating at Least One Solution to a Systems of Multi-Points Boundary Value Problems
Current article is concerned with the investigating a coupled systems of boundary value problems(BVPs) of fractional order differential equations(FDEs). By means of classical fixed point theorems, we prove the existence...