Geodesic
New results on fractional relaxation integro differential equations with impulsive conditions
Filomat, Tome 37 (2023) no. 17, p. 5775

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DOI

The aim of this paper is to study the existence and uniqueness of solutions for nonlinear fractional relaxation impulsive integro-differential equations with boundary conditions. Some results are established by using the Banach contraction mapping principle and the Schauder fixed point theorem. An example is provided which illustrates the theoretical results.
DOI : 10.2298/FIL2317775K
Classification : 34A08, 34A12, 34B15, 34B37, 26A33
Keywords: Fractional relaxation impulsive integro-differential equations, Riemann-Liouville fractional derivative, Liouville- Caputo fractional derivative, Existence, Uniqueness, Nonlinear equations, Fixed point 
Kulandhivel Karthikeyan; Gobi Selvaraj Murugapandian; Panjayan Karthikeyan; Ozgur Ege. New results on fractional relaxation integro differential equations with impulsive conditions. Filomat, Tome 37 (2023) no. 17, p. 5775 . doi: 10.2298/FIL2317775K
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     author = {Kulandhivel Karthikeyan and Gobi Selvaraj Murugapandian and Panjayan Karthikeyan and Ozgur Ege},
     title = {New results on fractional relaxation integro differential equations with impulsive conditions},
     journal = {Filomat},
     pages = {5775 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317775K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317775K/}
}
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