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 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
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     author = {P. Karthikeyan and R. Arul},
     title = {Integral {Boundary} {Value} {Problems} for {Implicit} {Fractional} {Differential} {Equations} {Involving} {Hadamard} and {Caputo-Hadamard} fractional {Derivatives}},
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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/