the present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. the proposed scheme is based on laplace transform and new homotopy perturbation methods. the fractional derivatives are considered in caputo sense. to illustrate the ability and reliability of the method some examples are provided. the results ob...

Fractional order partial differential equations are generalizations of classical partial differential equations. Increasingly, these models are used in applications such as fluid flow, finance and others. In this paper we examine some practical numerical methods to solve a class of initial- boundary value fractional partial differential equations with variable coefficients on a finite domain. S...

this paper addresses the problem of the fractional sliding mode control (fsmc) for a mems optical switch. the proposed scheme utilizes a fractional sliding surface to describe dynamic behavior of the system in the sliding mode stage. after a comparison with the classical integer-order counterpart, it is seen that the control system with the proposed sliding surface displays better transient per...

In this paper an approximate analytical solution of the fractional Zakharov-Kuznetsov equations will be obtained with the help of the reduced differential transform method (RDTM). It is in-dicated that the solutions obtained by the RDTM are reliable and present an effective method for strongly nonlinear fractional partial differential equations.

This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.

introduction: acne scar is formed after severe episodes of acne in teen and earlyadult years. several treatment options have been used for depressed acne scars suchas punch grafting, punch excision carbon dioxide (co2) laser etc. moreover, studiesshow that laser skin resurfacing such as co2 fractional can effectively treat depressedacne scars. we investigated the efficacy of fractional co2 lase...

Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...

the desire to achieve cosmetic rejuvenation and reduce effects of aging and photodamage urged scientists to develop effectual techniques which have minimal side effects and impressive long-term efficacy. traditional ablative resurfacing laser therapy has been used for several years;however, it has harmful side effects on the patient’s skin such as dyspigmentation, persistent erythema, infection...

background: identification of disease risk factors can help in the prevention of diseases. in assessing the predictive value of continuous variables, a routine procedure is to categorize the factors. this yield to inability to detect non‑linear relationship, if exist. multivariate fractional polynomial (mfp) modeling is a flexible method to reveal non‑linear associations. we aim to demonstrate ...