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math.CA2015

Solution of System of Linear Fractional Differential Equations with Modified derivative of Jumarie Type

Uttam Ghosh, Susmita Sarkar, Shantanu Das

Solution of fractional differential equations is an emerging area of present day research because such equations arise in various applied fields. In this paper we have developed an…

math.CA2015★ 7 cited

Fractional Weierstrass function by application of Jumarie fractional trigonometric functions and its analysis

Uttam Ghosh, Susmita Sarkar, Shantanu Das

The classical example of no-where differentiable but everywhere continuous function is Weierstrass function. In this paper we define the fractional order Weierstrass function in te…

math.CA2015★ 2 cited

Solutions of Linear Fractional non-Homogeneous Differential Equations with Jumarie Fractional Derivative and Evaluation of Particular Integrals

Uttam Ghosh, Susmita Sarkar, Shantanu Das

In this paper we describe a method to solve the linear non-homogeneous fractional differential equations (FDE), composed with Jumarie type Fractional Derivative, and describe this…

math.CA2015

Analytic Solution of Linear Fractional Differential Equation with Jumarie Derivative in Term of Mittag-Leffler Function

Uttam Ghosh, Srijan Sengupta, Susmita Sarkar +1

There is no unified method to solve the fractional differential equation. The type of derivative here used in this paper is of Jumarie formulation, for the several differential equ…

math.CA2015★ 4 cited

Characterization of non-differentiable points in a function by Fractional derivative of Jumarrie type

Uttam Ghosh, Srijan Sengupta, Susmita Sarkar +1

There are many functions which are continuous everywhere but not differentiable at some points, like in physical systems of ECG, EEG plots, and cracks pattern and for several other…