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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제3호
- 발행연도
- 2015.1
- 수록면
- 275 - 292 (18page)
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초록· 키워드
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This paper is mainly concerned with the existence of solution for nonlinear impulsive fractional dynamic equations on a special time scale.We introduce the new concept and propositions of fractional q-integral, q-derivative, and α-Lipschitz in the paper. By using a new fixed point theorem, we obtain some new existence results of solutions via some generalized singular Gronwall inequalities on time scales. Further, an interesting example is presented to illustrate the theory.
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참고문헌 (13)
참고문헌 신청
F. M. Atıcı. / 2007 / A transform method in discrete fractional calculus / Int. J. Differ. Equ 2:165~176
F. M. Atıcı. / 2007 / Fractional q-calculus on a time scale / J. Nonlinear Math. Phys 14:341~352
M. Bohner / 2007 / Double integral calculus of variations on time scales / Comput. Math. Appl 54:45~57
M. Bohner. / 2002 / Dynamic equations on time scales / J. Comput. Appl. Math 141:1~26
K. Diethelm / 2002 / Analysis of fractional differential equations / J. Math. Anal. Appl 265:229~248
F. M. Atıcı. / 2007 / Fractional q-calculus on a time scale / J. Nonlinear Math. Phys 14:341~352
M. Bohner / 2007 / Double integral calculus of variations on time scales / Comput. Math. Appl 54:45~57
M. Bohner. / 2002 / Dynamic equations on time scales / J. Comput. Appl. Math 141:1~26
K. Diethelm / 2002 / Analysis of fractional differential equations / J. Math. Anal. Appl 265:229~248
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