EXISTENCE AND UNIQUENESS OF SOLUTIONS OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

Authors

  • J.A.Nannaware Department of PG Studies and Research in Mathematics, Shrikrishna Mahavidyalaya, Gunjoti, Dist.Dharashiv-413606(MS).India
  • Vikas K.Wakode Department of PG Studies and Research in Mathematics, Shrikrishna Mahavidyalaya, Gunjoti, Dist.Dharashiv-413606(MS).India
  • S.S.Phulsagar Department of Mathematics, Ramkrishna Paramhansa Mahavidyalaya, Dharashiv-413501(MS).India
  • P.D.Kundgar Department of Mathematics,Late N. P. W. Arts and Science College Chopa Dist. Gondia (M.S.) India -441807
  • N Krishnamoorthy Faculty of Science and Humanities, PG Department of Computer Applications (MCA), SRM INSTITUTE OF SCIENCE AND TECHNOLOGY, Ramapuram, Chennai 600089 Tamilnadu, India.

DOI:

https://doi.org/10.70917/ijcisim-2026-4520

Keywords:

Fractional differential equations, Existence and uniqueness, Caputo fractional derivative, Lower and upper solutions

Abstract

In this paper, we investigate the existence and uniqueness of solution of fractional differential equations involving Caputo fractional derivative with nonlocal boundary conditions. The monotone method is constructed using lower and upper solutions. Two monotone sequences are constructed and shown to converge to the minimal and maximal solutions.

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Published

2026-08-12

How to Cite

J.A.Nannaware, Vikas K.Wakode, S.S.Phulsagar, P.D.Kundgar, & N Krishnamoorthy. (2026). EXISTENCE AND UNIQUENESS OF SOLUTIONS OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS. International Journal of Computer Information Systems and Industrial Management Applications, 18(16s), 50–58. https://doi.org/10.70917/ijcisim-2026-4520

Issue

Vol. 18 No. 16s (2026)

Section

Original Articles