Open AccessOn the existence and Ulam-Hyers stability of a new class of partial (Φ,χ)-fractional differential equations with impulses
Author(s) -
Arjumand Seemab,
ur Mujeeb Rehman,
Michal Fečkan,
Jehad Alzabut,
Syed Abbas
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2106977s
Subject(s) - mathematics , complement (music) , class (philosophy) , fractional calculus , mathematical analysis , partial differential equation , stability (learning theory) , measure (data warehouse) , partial derivative , pure mathematics , biochemistry , chemistry , database , artificial intelligence , complementation , machine learning , computer science , gene , phenotype
In this paper, we consider the newly defined partial (?,?)-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.