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EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS

Year 2018, Volume: 1 Issue: 1, 9 - 14, 01.01.2018

L.S. Chadli S. Melliani K. Hilal A. Kajouni

Abstract

In this paper, we discus the existence and uniqueness of mild solution to the fuzzy Cauchy Problem for the fractional differential equation with nonlocal Dqx(t) = Ax(t) + tnf(t, x(t), Bx(t)), t ∈ [0, T], n ∈ Z+, x(0) = x0 + g(x) where 0 < q < 1, A is the generator of the fuzzy strongly semigroup (S(t))t≥0 on En.

Keywords

Fractional differential equation Fuzzy differential equations Fuzzysolution Initial value problem

Year 2018, Volume: 1 Issue: 1, 9 - 14, 01.01.2018

L.S. Chadli S. Melliani K. Hilal A. Kajouni

Abstract

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Details

Other ID JA35CG64TJ
Journal Section Research Article
Authors

L.S. Chadli This is me

S. Melliani This is me

K. Hilal This is me

A. Kajouni This is me

Publication Date January 1, 2018
Submission Date January 1, 2018
Published in Issue Year 2018 Volume: 1 Issue: 1

Cite

APA Chadli, L., Melliani, S., Hilal, K., Kajouni, A. (2018). EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS. Journal of Universal Mathematics, 1(1), 9-14.
AMA Chadli L, Melliani S, Hilal K, Kajouni A. EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS. JUM. January 2018;1(1):9-14.
Chicago Chadli, L.S., S. Melliani, K. Hilal, and A. Kajouni. “EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS”. Journal of Universal Mathematics 1, no. 1 (January 2018): 9-14.
EndNote Chadli L, Melliani S, Hilal K, Kajouni A (January 1, 2018) EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS. Journal of Universal Mathematics 1 1 9–14.
IEEE L. Chadli, S. Melliani, K. Hilal, and A. Kajouni, “EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS”, JUM, vol. 1, no. 1, pp. 9–14, 2018.
ISNAD Chadli, L.S. et al. “EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS”. Journal of Universal Mathematics 1/1 (January 2018), 9-14.
JAMA Chadli L, Melliani S, Hilal K, Kajouni A. EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS. JUM. 2018;1:9–14.
MLA Chadli, L.S. et al. “EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS”. Journal of Universal Mathematics, vol. 1, no. 1, 2018, pp. 9-14.
Vancouver Chadli L, Melliani S, Hilal K, Kajouni A. EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS. JUM. 2018;1(1):9-14.