On nonlocal integral and derivative boundary value problem of nonlinear Hadamard Langevin equation with three different fractional orders

2019 ◽  
Vol 26 (2) ◽  
pp. 303-318 ◽  
Author(s):  
Amel Berhail ◽  
Nora Tabouche ◽  
Mohammed M. Matar ◽  
Jehad Alzabut
Keyword(s):  
Boundary Value Problem ◽  
Langevin Equation ◽  
Boundary Value ◽  
Fractional Orders

scholarly journals On implicit impulsive Langevin equation involving mixed order derivatives

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Akbar Zada ◽  
Rizwan Rizwan ◽  
Jiafa Xu ◽  
Zhengqing Fu
Keyword(s):  
Boundary Value Problem ◽  
Langevin Equation ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Sufficient Conditions ◽  
Nonlocal Boundary Value Problem ◽  
Qualitative Properties ◽  
Mixed Order

AbstractIn this paper, we consider a nonlocal boundary value problem of nonlinear implicit impulsive Langevin equation involving mixed order derivatives. Sufficient conditions are constructed to discuss the qualitative properties like existence and Ulam’s stability of the proposed problem. The main result is verified by an example.

scholarly journals On a boundary value problem of arbitrary orders differential inclusion with nonlocal, integral and infinite points boundary conditions

2021 ◽  
Vol 7 (3) ◽  
pp. 3896-3911
Author(s):  
A. M. A. El-Sayed ◽  
◽  
W. G. El-Sayed ◽  
Somyya S. Amrajaa ◽  
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Differential Inclusion ◽  
Continuous Dependence ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Existence Results ◽  
Sufficient Condition ◽  
Nonlocal Boundary Value Problem ◽  
Fractional Orders

<abstract><p>In this work, we are concerned with a boundary value problem of fractional orders differential inclusion with nonlocal, integral and infinite points boundary conditions. We prove some existence results for that nonlocal boundary value problem. Next, the existence of maximal and minimal solutions is proved. Finally, the sufficient condition for the uniqueness and continuous dependence of solution are studied.</p></abstract>

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