Geodesic
Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 331 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 examine the existence and uniqueness of integral boundary value problem for implicit fractional differential equations (IFDE's) \/ involving Hadamard and Caputo-Hadamard fractional derivative. We prove the existence and uniqueness results by utilizing Banach and Schauder's fixed point theorem. Finally, examples are introduced of our results.
Classification : 34A09 34A08, 26A33, 34A12, 34B10
Keywords: Implicit fractional differential equations, Hadamard fractional operators, boundary condition, fixed point theorem, existence and uniqueness 
@article{KJM_2021_45_3_a0,
     author = {P. Karthikeyan and R. Arul},
     title = {Integral {Boundary} {Value} {Problems} for {Implicit} {Fractional} {Differential} {Equations} {Involving} {Hadamard} and {Caputo-Hadamard} fractional {Derivatives}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {331 },
     year = {2021},
     volume = {45},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a0/}
}
TY  - JOUR
AU  - P. Karthikeyan
AU  - R. Arul
TI  - Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives
JO  - Kragujevac Journal of Mathematics
PY  - 2021
SP  - 331 
VL  - 45
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a0/
LA  - en
ID  - KJM_2021_45_3_a0
ER  - 
%0 Journal Article
%A P. Karthikeyan
%A R. Arul
%T Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives
%J Kragujevac Journal of Mathematics
%D 2021
%P 331 
%V 45
%N 3
%U http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a0/
%G en
%F KJM_2021_45_3_a0
P. Karthikeyan; R. Arul. Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 331 . http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a0/