Existence and stability of fractional implicit differential equations with complex order

2018 ◽  
Vol 2018 (-) ◽  
Author(s):  
D. Vivek ◽  
K. Kanagarajan ◽  
E. M. Elsayed
Keyword(s):  
Differential Equations ◽  
Implicit Differential Equations ◽  
Complex Order ◽  
Existence And Stability

scholarly journals Theory of fractional implicit differential equations with complex order

2019 ◽  
Vol 2 (2) ◽  
pp. 154-165
Author(s):  
Elsayed Elsayed ◽  
D. Vivek ◽  
K. Kanagarajan
Keyword(s):  
Differential Equations ◽  
Implicit Differential Equations ◽  
Complex Order

scholarly journals On the existence and stability of solution of boundary value problem for fractional integro-differential equations with complex order

Filomat ◽  
2018 ◽  
Vol 32 (8) ◽  
pp. 2901-2910 ◽  
Author(s):  
E.M. Elsayed ◽  
K. Kanagarajan ◽  
D. Vivek
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Sufficient Conditions ◽  
Stability Of Solutions ◽  
Complex Order ◽  
Stability Of Solution ◽  
Banach Contraction ◽  
Existence And Stability ◽  
The Banach Contraction Principle

In this paper, we establish sufficient conditions for the existence and stability of solutions for fractional integro-differential equations with boundary conditions involving complex order. The proofs are based upon the Banach contraction principle. An example is included to show the applicability of our results.

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