Research Statement and Interests One of my interests is research in the field of physical phenomena and obtaining an analytical and exact answer to these phenomena. Most physical and engineering events are expressed in terms of differential equations of fractional type. The subject of fractional calculus and fractional derivatives deal with investigation of integrals and derivatives of arbitrary real or complex order. Fractional calculus is thus an extension of integer order calculus, which is applicable in many areas of science and engineering, such as fluid flow, rheology, electric network, viscoelasticity, electrochemistry of corrosion and etc. In all my works, I use fractional derivatives since it has physical and engineering interpretation. My master’s thesis, under supervision Dr. Arman Aghili, was about “Fractional Calculus of Variations”. Fractional calculus of variations, that has been developed in the last two decades, is a combination of the calculus of variations and fractional calculus. This combination is not artificial, it comes naturally from more accurate descriptions of physical phenomena. It is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functional: mappings from a set of functions to the real numbers. Functionals are often expressed as definite integrals involving functions and their derivatives of fractional order. Functions that maximize or minimize functionals may be found using the Euler–Lagrange equation of the calculus of variations. Its development is also in direct connection with various problems occurring in biology, chemistry, control theory, dynamics, economics, engineering, physics, etc. My PhD thesis, under supervision Dr. Arman Aghili, was around “methods for solving fractional partial differential equations and fractional dynamical systems and computing some difficult integrals” that couldn’t be solved by ordinary ways. Tools such as Laplace transform and Fourier transform were very strong for finding solution of fractional PDEs and solving such integrals. After I received my PhD, I continued my researches on studying some equations and their solving method that they aren’t easy to utilize. My current research is around fractional PDEs and analytical methods for their solutions. These fractional PDEs happen in engineering, mathematical physics, chemistry and natural events. In most cases, it is very difficult to obtain the exact solution to these types of equations. I use integral transform techniques such as the Laplace transform, Fourier transform, Hankel transform, Mellin transforms and other transforms for obtaining an exact solution of these types of equations. Furthermore, in most cases, I use special functions such as Bessel, Hankel, Mittag-Leffler, H-functions and Airy functions and more. Working with these functions and how they are used is one of my skills. In my recent research, first paper in my CV, under supervision Dr. Alireza Ansari, a fractional mixed boundary value problem is solved by combination of Cagniard-Hoop method and Wiener-Hopf method. Using of these methods is so much hard, since in Wiener-Hopf method, one should factorize a function as two parts that they be analytical on semi-regions. It needs a strong knowledge of complex analysis and Wiener-Hopf method. The complexity of the topic occurs when we use this method along with Cagniard-Hoop method. The Cagniard–De Hoop method is a sophisticated mathematical tool for solving a large class of wave and diffusive problems in horizontally layered media. The method is based on the combination of a unilateral Laplace transformation with real and positive transform parameter and the slowness field representation. This project was conducted by the Shahrekord university and carried out in year 2018. The title of this project is as “Transient Thermal Mixed Boundary Value Problem of Distributed Order” Furthermore, in year 2019, I have commenced another project around medical science. It is a special PDE of fractional order that occurs in medical science. The result of this project have published in an ISI journal (number 1 of the list of publications). Furthermore, I am working another project with this university about solving a special PDE of fractional order in medical science. I am especially intrigued by the connections between the physical systems and neural phenomena and methods for their solution.