International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 5 Issue 2, February 2016


Existence of Mild Solutions for Fractional Neutral Functional Differential Equations

K. Geetha [4] | Dr. K. Kadambavanam


Abstract: In several research works, controllability is one of the major concepts in mathematical control theory, which plays an important role in control systems. The controllability of nonlinear systems provided by evolution equations and qualitative theory of fractional differential equations has been developed. In this paper, we consider the initial value problems of fractional neutral functional differential equations. By applying fixed-point theorem, fractional calculus and controllability theory, a new set of acceptable conditions for approximate controllability of semi linear fractional differential equations are formulated and verified. Finally approximate controllability of semi linear fractional control differential systems is implied under the assumptions that the corresponding linear system is approximately controllable.


Keywords: Fractional Differential Equations, Fixed-point Method, Semi Linear Fractional Control Differential Systems


Edition: Volume 5 Issue 2, February 2016,


Pages: 2190 - 2196


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How to Cite this Article?

K. Geetha, Dr. K. Kadambavanam, "Existence of Mild Solutions for Fractional Neutral Functional Differential Equations", International Journal of Science and Research (IJSR), Volume 5 Issue 2, February 2016, pp. 2190-2196, https://www.ijsr.net/get_abstract.php?paper_id=NOV161682

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