OLANIYAN STEPHEN ADEGOKE

Mathematics

At the Mathematics department office

Appointment on Visitation important

Topic: Numerical Methods For Solving Fractional Differential Equations

Description: Fractional  Differential Equations FDEs have gained significant attention due to their ability to model complex physical, biological and engineering systems more accurately than classical integer order differential equations. These equations account for memory and hereditary properties of various materials and processes making them suitable for applications in viscoelasticity, anomalous diffusion, control theory and bioengineering. However, the non local nature of fractional derivatives poses significant challenges for analytical solutions thus necessitating the development of robust numerical methods. The aim of this research is to investigate and develop accurate and efficient numerical methods for solving various classes of fractional differential equations in order to apply these numerical techniques to real world models in physics, biology and engineering, demonstrating their effectiveness when compared with other numerical techniques.  I also aim to analyze the stability. convergence and error estimates of the proposed numerical schemes.

#	Certificate	School	Year
1.	Ph.D (Mathematics)	Department of Mathematics, Faculty of Science, Lagos State University, Ojo	2022

Quadruple Laplace-Sumudu-Aboodh-Elzaki Transform

The application of  differential equations in physics, engineering and applied sciences has been subject of active research for years. The importance of  differential equations made many researchers to be interested in finding different solutions. Among the solution methods, the integral transform techniques have been the most used in finding solutions to both ordinary and partial differential equations. One dimensional integral transform such as Laplace, Sumudu, Adoodh, Elzaki, Mellin, Shehu and many others have been used to get analytical solutions of ordinary, partial and even fractional differential equations. Due to researcher's quest for development, one dimensional transform was extended to two dimensional transform which is a superior version and appeared to be a very efficient method for solving all classes of differential equations. Then subsequently, three dimensional transform such as Triple Shehu, Triple Sumudu and Triple Laplace were introduced. Recently, three dimensional transforms were extended to four dimensional transform called the Quadruple transform to deal with all kinds of differential equations. Very recently, researchers went further to focus attention on the way in which different transform can be combined in two and three dimensional transforms. This paper aims to extend this idea to a four dimensional transform by introducing a special quadruple transform called quadruple Laplace-Aboodh-Sumudu-Elzaki (L-S-A-E) transform which is made up of Laplace transform, Aboodh transform,  Sumudu transform and Elzaki  transform. This transform will be used to solve integral equations and partial differential equations. Its basic properties, functions and several theorems with some examples will also be presented.

OLANIYAN ADEGOKE is a Lecturer II at the Department of Mathematics

OLANIYAN has a Ph.D in Mathematics from Department of Mathematics, Faculty of Science, Lagos State University, Ojo