A comparison between numerical solutions to fractional differential equations: Adams-type predictor-corrector and multi-step generalized differential transform method

In this note, two numerical methods of solving fractional differential equations (FDEs) are briefly described, namely predictor-corrector approach of Adams-Bashforth-Moulton type and multi-step generalized differential transform method (MSGDTM), and then a demonstrating example is given to compare the results of the methods. It is shown that the MSGDTM, which is an enhancement of the generalized differential transform method, neglects the effect of non-local structure of fractional differentiation operators and fails to accurately solve the FDEs over large domains.Comment: 12 pages, 2 figure

Analysis of Coverage Region for MIMO Relay Network with Multiple Cooperative DF-Relays

We study and analyze coverage region in MIMO communication systems for a multiple-relay network with decode-and-forward (DF) strategy at the relays. Assuming that there is a line-of-sight (LOS) propagation environment for source-relay channels and channel state information is available at receivers (CSIR), we consider the objective of maximizing coverage region for a given transmission rate and show numerically the significant effect of propagation environment on capacity bounds, optimal relay location and coverage region. Also, we study the situation in which two adjacent relays cooperate in transmission signals to the destination and show analytically that the coverage region is extended compared to noncooperative scenario.Comment: Accepted for publication in International Symposium on Wireless Communication Systems (ISWCS) 201

Determination of order in linear fractional differential equations

The order of fractional differential equations (FDEs) has been proved to be of great importance in an accurate simulation of the system under study. In this paper, the orders of some classes of linear FDEs are determined by using the asymptotic behaviour of their solutions. Specifically, it is demonstrated that the decay rate of the solutions is influenced by the order of fractional derivatives. Numerical investigations are conducted into the proven formulas

Identifying the relationship of parenting styles and parent’s perfectionism with normal students’ and gifted students’ perfectionism

Psychologists stated that parents’ functions and behaviors influence the formation of children’s thoughts, behaviors and emotions This study aimed to identify the relationship of parenting styles and parents’ perfectionism with normal students’ perfectionism and gifted students’ perfectionism. The study is a descriptive correlation study. The population consisted of all normal and gifted female high school students of Karaj. A sample of 200 students was selected using random sampling method. Data was collected using Hill’s perfectionism questionnaire and BAUMRIND’s parenting styles questionnaire. Researcher used simultaneous multivariate regression and independent sample t-test methods for data analysis. The results showed that there is a statistically significant difference between perfectionism of normal student’s parents and perfectionism of gifted student’s parents but there is no statistically significant difference between their parenting styles. There is a statistically significant difference between perfectionism of normal students and perfectionism of gifted students. Results also showed that adaptive and maladaptive perfectionism of students are not predictable based on the perfectionism and parenting styles of parents

Identifying the relationship of parenting styles and parent’s perfectionism with normal students’ and gifted students’ perfectionism

Psychologists stated that parents’ functions and behaviors influence the formation of children’s thoughts, behaviors and emotions This study aimed to identify the relationship of parenting styles and parents’ perfectionism with normal students’ perfectionism and gifted students’ perfectionism. The study is a descriptive correlation study. The population consisted of all normal and gifted female high school students of Karaj. A sample of 200 students was selected using random sampling method. Data was collected using Hill’s perfectionism questionnaire and BAUMRIND’s parenting styles questionnaire. Researcher used simultaneous multivariate regression and independent sample t-test methods for data analysis. The results showed that there is a statistically significant difference between perfectionism of normal student’s parents and perfectionism of gifted student’s parents but there is no statistically significant difference between their parenting styles. There is a statistically significant difference between perfectionism of normal students and perfectionism of gifted students. Results also showed that adaptive and maladaptive perfectionism of students are not predictable based on the perfectionism and parenting styles of parents