Analysis of New Class of Abstract Hybrid Fractional Equations: Existence \& Uniqueness of Solutions.

Not scheduled
20m

Speaker

Dr Abdelhak Abdallah (Department of Mathematics, Hassiba Benbouali University, Chlef, Algeria)

Description

Abstract
The main objective of this work is to prove the existence, unique
ness of the mild solution for abstract hybrid fractional diffusion equa
tions by using the resolvent operators and fixed point theorems. More
over, we studied an example on partial differential equation with Ca
puto fractional derivative.
Keywords: Caputo fractional derivative, Abstract hybrid equation, Re
solvent operators, non local condition.
References
[1] B. Ahmad and S.K. Ntouyas, Fractional q-Difference Hybrid Equations
and Inclusions with Dirichlet Boundary Conditions. Adv Differ Equ
2014, 199 (2014).
[2] S. Abbas, M. Benchohra and M. Abdalla Darwish, Some Existence and
Stability Results for Abstract Fractional Differential Inclusions with not
Instantaneous Impulses. Math. Reports 19(69), 2(2017), 245-262.
[3] K. Ould Melha, M. Djilali and V. L. Chinchane, Abstract Fractional
Differential Equations with

Author

Dr Abdelhak Abdallah (Department of Mathematics, Hassiba Benbouali University, Chlef, Algeria)

Co-author

Prof. Khellaf Ould Melha (Department of Mathematics, Hassiba Benbouali University, Chlef, Algeria)

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