TY - JOUR
T1 - EXISTENCE OF SOLUTION FOR A HILFER FRACTIONAL DIFFERENTIAL EQUATION USING COINCIDENCE DEGREE THEORY
AU - Srivastava, Satyam Narayan
AU - Pati, Smita
AU - Domoshnitsky, Alexander
AU - Padhi, Seshadev
N1 - Publisher Copyright:
© Indian Mathematical Society, 2025.
PY - 2025/7
Y1 - 2025/7
N2 - We have used Mawhin’s coincidence degree theory to study the existence of a positive solution for the Hilfer fractional differential equation with Riemann-Stieltjes integral boundary conditions. Our problem is considered at resonance. Utilizing the required function spaces, norms, and operators, we establish specific conditions to prove our results on the existence of solutions. We have included two examples to demonstrate our findings. A discussion section is also provided, examining potential avenues for future research.
AB - We have used Mawhin’s coincidence degree theory to study the existence of a positive solution for the Hilfer fractional differential equation with Riemann-Stieltjes integral boundary conditions. Our problem is considered at resonance. Utilizing the required function spaces, norms, and operators, we establish specific conditions to prove our results on the existence of solutions. We have included two examples to demonstrate our findings. A discussion section is also provided, examining potential avenues for future research.
KW - Coincidence degree theory
KW - Existence of solutions
KW - Fractional derivative
KW - Fractional integration
KW - Hilfer fractional derivative
KW - Resonance
KW - Riemann-Steiltjes integration
UR - https://www.scopus.com/pages/publications/105011302452
U2 - 10.18311/jims/2025/35613
DO - 10.18311/jims/2025/35613
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:105011302452
SN - 0019-5839
VL - 92
SP - 397
EP - 408
JO - Journal of the Indian Mathematical Society
JF - Journal of the Indian Mathematical Society
IS - 3
ER -