Fractional differential inclusions of Hilfer and Hadamard types in Banach spaces

2017 ◽  
Vol 37 (2) ◽  
pp. 187 ◽  
Author(s):  
Said Abbas ◽  
Mouffak Benchohra ◽  
Mohamed Abdalla Darwish
Keyword(s):  
Banach Spaces ◽  
Differential Inclusions ◽  
Fractional Differential Inclusions ◽  
Fractional Differential

scholarly journals Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents, Part II

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1052
Author(s):  
Marko Kostić ◽  
Wei-Shih Du
Keyword(s):  
Banach Spaces ◽  
Differential Inclusions ◽  
Variable Exponent ◽  
Almost Periodicity ◽  
Variable Exponents ◽  
Almost Periodic ◽  
Fractional Differential Inclusions ◽  
Lebesgue Spaces ◽  
Fractional Differential ◽  
Recurrent Type

In this paper, we introduce and analyze several different notions of almost periodic type functions and uniformly recurrent type functions in Lebesgue spaces with variable exponent L p ( x ) . We primarily consider the Stepanov and Weyl classes of generalized almost periodic type functions and generalized uniformly recurrent type functions. We also investigate the invariance of generalized almost periodicity and generalized uniform recurrence with variable exponents under the actions of convolution products, providing also some illustrative applications to the abstract fractional differential inclusions in Banach spaces.

New Stability Results for Partial Fractional Differential Inclusions with Not Instantaneous Impulses

2015 ◽  
Vol 18 (1) ◽  
Author(s):  
Saïd Abbas ◽  
Mouffak Benchohra ◽  
Mohamed Abdalla Darwish
Keyword(s):  
Banach Spaces ◽  
Differential Inclusions ◽  
Fractional Differential Inclusions ◽  
Right Hand ◽  
Fractional Differential ◽  
Functional Differential ◽  
Ulam’S Type Stability ◽  
Functional Differential Inclusions ◽  
Stability Results ◽  
Stability Concepts

AbstractIn this work, we discuss the existence and Ulam's type stability concepts for a class of partial functional differential inclusions with not instantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is also provided to illustrate our results.

scholarly journals Coupled systems of Hilfer fractional differential inclusions in banach spaces

2018 ◽  
Vol 17 (6) ◽  
pp. 2479-2493 ◽  
Author(s):  
Saïd Abbas ◽  
◽  
Mouffak Benchohra ◽  
John R. Graef ◽  
◽  
...  
Keyword(s):  
Banach Spaces ◽  
Differential Inclusions ◽  
Coupled Systems ◽  
Fractional Differential Inclusions ◽  
Fractional Differential

Fractional differential inclusions of Hilfer type under weak topologies in Banach spaces

2018 ◽  
Vol 13 (01) ◽  
pp. 2050015
Author(s):  
Saïd Abbas ◽  
Mouffak Benchohra ◽  
Mohamed Abdalla Darwish
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Differential Inclusions ◽  
Fractional Differential Inclusions ◽  
Measure Of Weak Noncompactness ◽  
Existence Of Weak Solutions ◽  
Mönch’S Fixed Point Theorem ◽  
Fractional Differential ◽  
Weak Topologies

In this paper, we present some results concerning the existence of weak solutions for some functional Hilfer and Hadamard fractional differential inclusions. The Mönch’s fixed point theorem and the concept of measure of weak noncompactness are the main tools used to carry out our results.

scholarly journals Abstract degenerate fractional differential inclusions in Banach spaces

2017 ◽  
Vol 11 (1) ◽  
pp. 39-61 ◽  
Author(s):  
Marko Kostic
Keyword(s):  
Banach Spaces ◽  
Differential Inclusions ◽  
Linear Operators ◽  
Cauchy Problems ◽  
Fractional Differential Inclusions ◽  
Caputo Derivatives ◽  
Fractional Resolvent Families ◽  
Fractional Differential ◽  
Resolvent Families ◽  
Linear Degenerate

In the paper under review, we investigate a class of abstract degenerate fractional differential inclusions with Caputo derivatives. We consider subordinated fractional resolvent families generated by multivalued linear operators, which do have removable singularities at the origin. Semi-linear degenerate fractional Cauchy problems are also considered in this context.

Sign in / Sign up

Export Citation Format

Share Document