SOLVABILITY OF HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS ON A HALF-LINE WITH LOGARITHMIC TYPE INITIAL DATA

Nemat Nyamoradi; Bashir Ahmad

doi:10.11948/20230312

2024 Volume 14 Issue 3

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Nemat Nyamoradi, Bashir Ahmad. SOLVABILITY OF HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS ON A HALF-LINE WITH LOGARITHMIC TYPE INITIAL DATA[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1613-1624. doi: 10.11948/20230312

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Nemat Nyamoradi, Bashir Ahmad. SOLVABILITY OF HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS ON A HALF-LINE WITH LOGARITHMIC TYPE INITIAL DATA[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1613-1624. doi: 10.11948/20230312

SOLVABILITY OF HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS ON A HALF-LINE WITH LOGARITHMIC TYPE INITIAL DATA

Nemat Nyamoradi^1, ,,
Bashir Ahmad^2,

1.
Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
2.
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Author Bio: Email: bashirahmad_qau@yahoo.com(B. Ahmad)
Corresponding author: Email: neamat80@yahoo.com(N. Nyamoradi)

Abstract

Abstract

In this paper, by using the Leray-Schauder nonlinear alternative and contraction mapping principle, we study the existence and uniqueness of solutions to a new class of Hadamard fractional differential equations on a half-line supplemented with logarithmic type initial conditions.
- Hadamard fractional derivative /
- logarithmic type initial data /
- existence of solutions /
- fixed point
MSC: 47H10, 26A33, 34A08

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References

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