scholarly journals Continuation and maximal regularity of fractional-order evolution equation

2004 ◽  
Vol 296 (1) ◽  
pp. 340-350 ◽  
Author(s):  
Ahmed M.A El-Sayed ◽  
Mohamed A.E Herzallah
Keyword(s):  
Evolution Equation ◽  
Fractional Order ◽  
Maximal Regularity

scholarly journals Existence and Uniqueness of Mild Solution for Fractional-Order Controlled Fuzzy Evolution Equation

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Naveed Iqbal ◽  
Azmat Ullah Khan Niazi ◽  
Ramsha Shafqat ◽  
Shamsullah Zaland
Keyword(s):  
Evolution Equation ◽  
Fractional Order ◽  
Existence And Uniqueness ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Mild Solutions ◽  
Fuzzy Differential Equation ◽  
Fractional Differential ◽  
Derivatives Of ◽  
Fuzzy Fractional Differential Equations

In this article, we investigated the existence and uniqueness of mild solutions for fractional-order controlled fuzzy evolution equations with Caputo derivatives of the controlled fuzzy nonlinear evolution equation of the form   0 c D I γ x I = α x I + P I , x I + A I W I , I ∈ 0 , T , x I 0 = x 0 , in which γ ∈ 0 , 1 , E 1 is the fuzzy metric space and I = 0 , T is a real line interval. With the help of few conditions on functions P : I × E 1 × E 1 ⟶ E 1 , W I is control and it belongs to E 1 , A ∈ F I , L E 1 , and α stands for the highly continuous fuzzy differential equation generator. Finally, a few instances of fuzzy fractional differential equations are shown.

Perturbation for fractional-order evolution equation

2010 ◽  
Vol 62 (3) ◽  
pp. 593-600 ◽  
Author(s):  
Mohamed A. E. Herzallah ◽  
Ahmed M. A. El-Sayed ◽  
Dumitru Baleanu
Keyword(s):  
Evolution Equation ◽  
Fractional Order
Sign in / Sign up

Export Citation Format

Share Document