Mild solutions of semilinear evolution equation and their applications in second‐order hyperbolic PDE

Mursaleen, M.; Allahyari, Asghar; Kayvanloo, Hojjatollah Amiri; Haghighi, Ali Shole; Allahyari, Reza

doi:10.1002/mma.9148

Math Methods in App Sciences

2023

DOI: 10.1002/mma.9148

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Mild solutions of semilinear evolution equation and their applications in second‐order hyperbolic PDE

M. Mursaleen

Asghar Allahyari

Hojjatollah Amiri Kayvanloo

et al.

Abstract: The principal goal of this work is to solvability of the mild solution for the second-order hyperbolic PDE with initial/boundary-value problem with nonlocal condition of the formwhere P ⊆ R n is open. Our analysis relies on the technique of measure of noncompactness.

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Existence of solutions for infinite system of nonlinear q-fractional boundary value problem in Banach spaces

Mohiuddine,

Das,

Alotaibi

2023

Filomat

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Studying various fixed point theorems on Banach spaces such as the Darbo?s fixed point theorem, has recently proved to be quite effective while doing research on existence problems. We here use a contraction operator to demonstrate a modified Darbo-type fixed point result with the intention to study the existence of solutions of infinite system of nonlinear q-fractional boundary value problem in the Banach spaces. Towards the end, reasonable example is presented to validate our findings.

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Existence of solutions for infinite system of nonlinear q-fractional boundary value problem in Banach spaces

Mohiuddine,

Das,

Alotaibi

2023

Filomat

View full text Add to dashboard Cite

show abstract

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Mild solutions of semilinear evolution equation and their applications in second‐order hyperbolic PDE

Abstract: The principal goal of this work is to solvability of the mild solution for the second-order hyperbolic PDE with initial/boundary-value problem with nonlocal condition of the formwhere P ⊆ R n is open. Our analysis relies on the technique of measure of noncompactness.

Cited by 1 publication

References 15 publications

Existence of solutions for infinite system of nonlinear q-fractional boundary value problem in Banach spaces

Existence of solutions for infinite system of nonlinear q-fractional boundary value problem in Banach spaces

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