Existence and uniqueness results for Ψ-fractional integro-differential equations with boundary conditions | Zendy

D. Vivek | Zendy; E. M. Elsayed | Zendy; K. Kanagarajan | Zendy

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Existence and uniqueness results for Ψ-fractional integro-differential equations with boundary conditions

Author(s) -

D. Vivek,

E. M. Elsayed,

K. Kanagarajan

Publication year - 2020

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim2021145v

Subject(s) - mathematics , uniqueness , contraction mapping , fixed point theorem , boundary value problem , mathematical analysis , fractional calculus , contraction principle , picard–lindelöf theorem , differential equation , contraction (grammar) , stability (learning theory) , derivative (finance) , computer science , machine learning , financial economics , economics , medicine

We study boundary value problems (BVPs for short) for the integro- differential equations via ?-fractional derivative. The results are obtained by using the contraction mapping principle and Schaefer?s fixed point theorem. In addition, we discuss the Ulam-Hyers stability.

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