Geodesic
On the existence and Ulam–Hyers stability of a new class of partial (φ, χ)−fractional differential equations with impulses
Filomat, Tome 35 (2021) no. 6, p. 1977

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DOI

In this paper, we consider the newly defined partial (φ, χ)−fractional integral and derivative to study a new class of partial fractional differential equations with impulses. The existence and Ulam–Hyers stability of solutions for the proposed equation are investigated via the means of measure of noncompactness and fixed point theorems. The presented results are quite general in their nature and further complement the existing ones.
DOI : 10.2298/FIL2106977S
Classification : 26A33, 34A08, 34B27
Keywords: ψ−fractional partial differential equations, Measure of noncompactness, Ulam-Hyers stability, Fixed point theorem 
Arju; and Seemab; Mujeeb Ur Rehman; Michal Fečkan; Jehad Alzabut; Syed Abbas. On the existence and Ulam–Hyers stability of a new class of partial (φ, χ)−fractional differential equations with impulses. Filomat, Tome 35 (2021) no. 6, p. 1977 . doi: 10.2298/FIL2106977S
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     title = {On the existence and {Ulam{\textendash}Hyers} stability of a new class of partial (\ensuremath{\varphi}, \ensuremath{\chi})\ensuremath{-}fractional differential equations with impulses},
     journal = {Filomat},
     pages = {1977 },
     year = {2021},
     volume = {35},
     number = {6},
     doi = {10.2298/FIL2106977S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2106977S/}
}
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