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

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

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
Authors	L.S. Chadli This is me S. Melliani This is me K. Hilal This is me A. Kajouni This is me
Submission Date	January 1, 2018
Publication 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 (January2018), 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.