ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A CLASS OF INITIAL VALUE PROBLEMS OF FRACTIONAL ORDER

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DUTTA BIJU K.; ARORA LAXMI K.

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Journal: MATHEMATICAL SCIENCES Year:2013 | Volume:7 | Issue:- Page(s): 1-12

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Title

ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A CLASS OF INITIAL VALUE PROBLEMS OF FRACTIONAL ORDER

Author(s)

DUTTA BIJU K. | ARORA LAXMI K. | Issue Writer Certificate

Keywords

CAPUTO-TYPE FRACTIONAL DERIVATIVE

INITIAL VALUE PROBLEM

FIXED POINT THEOREMS

Abstract

In this paper, sufficient conditions for the existence and uniqueness of solution are studied for a class of INITIAL VALUE PROBLEM of fractional order, involving the Caputo-type derivative of a hypergeometric fractional operator applying fixed point theory. Examples are also provided to illustrate the results.

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APA: Copy

DUTTA, BIJU K., & ARORA, LAXMI K.. (2013). ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A CLASS OF INITIAL VALUE PROBLEMS OF FRACTIONAL ORDER. MATHEMATICAL SCIENCES, 7(-), 1-12. SID. https://sid.ir/paper/322645/en

Vancouver: Copy

DUTTA BIJU K., ARORA LAXMI K.. ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A CLASS OF INITIAL VALUE PROBLEMS OF FRACTIONAL ORDER. MATHEMATICAL SCIENCES[Internet]. 2013;7(-):1-12. Available from: https://sid.ir/paper/322645/en

IEEE: Copy

BIJU K. DUTTA, and LAXMI K. ARORA, “ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A CLASS OF INITIAL VALUE PROBLEMS OF FRACTIONAL ORDER,” MATHEMATICAL SCIENCES, vol. 7, no. -, pp. 1–12, 2013, [Online]. Available: https://sid.ir/paper/322645/en

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