Geodesic
Existence and uniqueness of solutions to some classes of nonlocal semilinear conformable fractional differential or integrodifferential equations
Filomat, Tome 36 (2022) no. 8, p. 2717

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DOI

The purpose of this paper is to give and prove the fundamental theorem of conformable fractional calculus which is given only in previous associated papers for differentiable functions, and then we scrutinize the existence and uniqueness of solutions to some semilinear Cauchy problems for nonlocal conformable fractional integrodifferential or differential equations which their nonlinear terms include fractional derivative or fractional integral. Two examples are investigated to elucidate the main results.
DOI : 10.2298/FIL2208717H
Classification : 26A33, 28B99, 34G20, 45N05
Keywords: Fractional Cauchy problem, Conformable fractional derivative, Schaefer’s fixed-point theorem, Conformable Gronwall inequality 
Mohamed A E Herzallah; Ashraf H A Radwan. Existence and uniqueness of solutions to some classes of nonlocal semilinear conformable fractional differential or integrodifferential equations. Filomat, Tome 36 (2022) no. 8, p. 2717 . doi: 10.2298/FIL2208717H
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     title = {Existence and uniqueness of solutions to some classes of nonlocal semilinear conformable fractional differential or integrodifferential equations},
     journal = {Filomat},
     pages = {2717 },
     year = {2022},
     volume = {36},
     number = {8},
     doi = {10.2298/FIL2208717H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2208717H/}
}
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