Geodesic
A Study of Multi-Term Time-Fractional Delay Differential System with Monotonic Conditions
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 2, p. 267 .

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, the existence and uniqueness of mild solution for a class of multi-term time-fractional delay differential system have been discussed in ordered Banach space by enforcing monotone iterative technique. The generalized semigroup theory, fractional calculus and measure of noncompactness have been implemented to obtain the required results. A new set of sufficient conditions with the coefficients in the equations satisfying some monotonic properties has been obtained. Finally, an application is given to illustrate the obtained results.
Classification : 34A08, 34K37, 34C12, 47B60, 34G20
Keywords: fractional differential equation, upper and lower solutions, measure of noncompactness, monotone iterative technique 
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     title = {A {Study} of {Multi-Term} {Time-Fractional} {Delay} {Differential} {System} with {Monotonic} {Conditions}},
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Vikram Singh; Renu Chaudhary; Dwijendra N Pandey. A Study of Multi-Term Time-Fractional Delay Differential System with Monotonic Conditions. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 2, p. 267 . http://geodesic.mathdoc.fr/item/KJM_2024_48_2_a6/