TY - JOUR
ID - 16489
TI - Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Kharat, Vinod Vijaykumar
AU - Reshimkar, Anand Rajshekhar
AU - Kazi, Mansoorali A
AU - Gophane, Machchhindra Tolaji
AD - Department of Mathematics, N. B. N. Sinhgad College of Engineering, Kegaon-Solapur-413255, India.
AD - Department of Mathematics, D. B. F. Dayanand College of Arts and Science, Solapur-413002, India.
AD - Department of Mathematics, Shivaji University, Kolhapur-416004, India.
Y1 - 2024
PY - 2024
VL - 12
IS - 1
SP - 89
EP - 99
KW - Generalized fractional derivative
KW - fractional integrodifferential equation
KW - terminal condition
KW - Schauder fixed point theorem
DO - 10.22034/cmde.2023.53224.2243
N2 - In this study, we give results on the existence and uniqueness of solutions for generalized fractional integrodifferential equations with a nonlocal terminal condition. We have proved the existence of solutions to the problem proposed using the Schauder fixed point theorem and the uniqueness of its solutions is proved using the Banach fixed point theorem. At the end, we discussed the examples to support our results.
UR - https://cmde.tabrizu.ac.ir/article_16489.html
L1 - https://cmde.tabrizu.ac.ir/article_16489_36a6c18ef37bab6bb10a8675fc3e2427.pdf
ER -