Cone solutions to systems with generalized fractional differential

Cone solutions to systems with generalized fractional
differential operators
Ewa Girejko
Bialystok University of Technology
Wiejska 45A
15-351 Bialystok, Poland
[email protected]
Dorota Mozyrska
Bialystok University of Technology
Wiejska 45A
15-351 Bialystok, Poland
[email protected]
Malgorzata Wyrwas
Bialystok University of Technology
Wiejska 45A
15-351 Bialystok, Poland
[email protected]
Systems with generalized fractional differential operators are discussed. By the
choice of a certain kernel, these operators can be reduced to the standard fractional
integrals and derivatives. We study existence of positive and cone solutions to such
systems.