Geodesic
Existence of Solutions for a Class of Caputo Fractional $q$-Difference Inclusion on Multifunctions by Computational Results
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 543 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

In this paper, we study a class of fractional $q$-differential inclusion of order $0 q 1$ under $L^1$-Caratheodory with convex-compact valued properties on multifunctions. By the use of existence of fixed point for closed valued contractive multifunction on a complete metric space which has been proved by Covitz and Nadler, we provide the existence of solutions for the inclusion problem via some conditions. Also, we give a couple of examples to elaborate our results and to present the obtained results by some numerical computations.
Classification : 26A33, 34A08, 34K37
Keywords: existence of solution, fractional $q$-difference inclusion, integral boundary value problem 
@article{KJM_2021_45_4_a3,
     author = {Mohammad Esmael Samei and Ghorban Khalilzadeh Ranjbar and Vahid Hedayati},
     title = {Existence of {Solutions} for a {Class} of {Caputo} {Fractional} $q${-Difference} {Inclusion} on {Multifunctions} by {Computational} {Results}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {543 },
     year = {2021},
     volume = {45},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a3/}
}
TY  - JOUR
AU  - Mohammad Esmael Samei
AU  - Ghorban Khalilzadeh Ranjbar
AU  - Vahid Hedayati
TI  - Existence of Solutions for a Class of Caputo Fractional $q$-Difference Inclusion on Multifunctions by Computational Results
JO  - Kragujevac Journal of Mathematics
PY  - 2021
SP  - 543 
VL  - 45
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a3/
LA  - en
ID  - KJM_2021_45_4_a3
ER  - 
%0 Journal Article
%A Mohammad Esmael Samei
%A Ghorban Khalilzadeh Ranjbar
%A Vahid Hedayati
%T Existence of Solutions for a Class of Caputo Fractional $q$-Difference Inclusion on Multifunctions by Computational Results
%J Kragujevac Journal of Mathematics
%D 2021
%P 543 
%V 45
%N 4
%U http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a3/
%G en
%F KJM_2021_45_4_a3
Mohammad Esmael Samei; Ghorban Khalilzadeh Ranjbar; Vahid Hedayati. Existence of Solutions for a Class of Caputo Fractional $q$-Difference Inclusion on Multifunctions by Computational Results. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 543 . http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a3/