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Open AccessArticle

Existence Results for Fuzzy Differential Equations with ψ-Hilfer Fractional

Annals of Communications in Mathematics 2022

, 5 (1)

, 38-54

DOI: https://doi.org/10.62072/acm.2022.050104

AbstractThis manuscript concerns the fuzzy differential equation involving ψ-Hilfer type fractional derivative with nonlocal condition. By using successive approximation, we obtain the existence, uniqueness results of solution for ψ-Hilfer fuzzy differential equation. Further, nonlocal conditions are extended to the existence results. Furthermore, an application is shown to demonstrate the theoretical conclusions utility.
Open AccessArticle

Boundary value problems for pantograph equations under generalized

Annals of Communications in Mathematics 2021

, 4 (2)

, 149-154

DOI: https://doi.org/10.62072/acm.2021.040207

AbstractThe sufficient conditions are estabilished for the existence of solutions for a class of boundary value problems for pantograph equations involving the ψ-type fractional deerivative in Caputo sense.
Open AccessArticle

Existence of solutions for Hadamard fractional differential equations in Banach spaces

Annals of Communications in Mathematics 2021

, 4 (1)

, 1-9

DOI: https://doi.org/10.62072/acm.2021.040101

AbstractIn this work, we investigate the existence of solutions for Hadamard fractional differential equations with integral boundary conditions in a Banach space. We will make use the measure of noncompactness and the Monch fixed point theorem to prove the ¨ main results. An example is given to illustrate our results.