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Investigate the solution of an initial Hilfer fractional value problem

             36. Houas M, Alzabut J, Khuddush M. Existence and  Fractional Difference Equations, and Fractional Inte-
                stability analysis to the sequential coupled hybrid  gral Inequalities. Dr. Amol has authored numerous pa-
                system of fractional differential equations with  pers in international journals and conference proceed-
                two different fractional derivatives. Int J Optim  ings. He also supervised master’s students for their
                Control Theor Appl IJOCTA. 2023;13(2):224-235.  research projects in various areas of Mathematics.
                http://doi.org/10.11121/ijocta.2023.1278         https://orcid.org/0000-0002-8028-4335
             37. Mani G, Gnanaprakasam AJ, Guran L, George
                R, Mitrovi´c ZD. Some results in fuzzy b-metric
                space with b-triangular property and applica-
                tions to Fredholm Integral equations and dynamic
                                                              Arif S. Bagwan Dr. Arif S. Bagwan is an Assis-
                programming. Mathematics2023;   11(19):4101.
                                                              tant Professor and Deputy Controller of Examination
                https://doi.org/10.3390/math11194101
                                                              at Pimpri Chinchwad College of Engineering, Nigdi,
             38. Mani G, Gnanaprakasam AJ, Ege O, Alo-
                                                          ∗
                qaily A, Mlaiki N. Fixed point results in C -  Pune. He pursued his Ph.D. in Mathematics from
                                                              Dr. Babasaheb Ambedkar Marathwada University, Au-
                algebra-valued partial b-Metric spaces with re-
                                                              rangabad, India where he studied the existence, unique-
                lated application. Mathematics. 2023;11(5):1158.
                                                              ness and stability results of some fractional differential
                https://doi.org/10.3390/math11051158
                                                              equations by means of some fixed point theorems. Dr.
             39. Yavuz M. Novel solution methods for ini-
                                                              Arif has published his work in some reputed interna-
                tial boundary value problems of fractional or-
                                                              tional journals. His research interest is discrete and
                der with conformable differentiation. Int J Op-
                                                              continuous fractional calculus and fixed point theory.
                tim Control Theor Appl IJOCTA. 2018;8(1):1-7.
                                                              He actively participates in international conferences.
                https://doi.org/10.11121/ijocta.01.2018.00540
             40. Akg¨ul  A,  Inc  M,  Baleanu  D.  On  solu-     https://orcid.org/0000-0003-4789-7049
                tions   of  variable-order  fractional  differ-
                ential  equations.  Int  J   Optim   Control
                Theor    Appl   IJOCTA.    2017;7(1):112-116.
                http://doi.org/10.11121/ijocta.01.2017.00368  Sabri T. M. Thabet Dr. Sabri T. M. Thabet is an
             41. Mani  G,   Haque   S,  Gnanaprakasam   AJ,   Associate Professor and Head of the Mathematics De-
                Ege O, Mlaiki N. The study of bicomplex-      partment at Radfan University College, University of
                Valued   controlled  metric  spaces  with  ap-  Lahej, Yemen. He is also an adjunct professor at Ko-
                plications  to  fractional  differential  equa-  rea University in South Korea and Saveetha University
                tions.     Mathematics.     2023;11(12):2742.  in India. He holds a Ph.D. in Mathematics from Dr.
                https://doi.org/10.3390/math11122742          Babasaheb Ambedkar Marathwada University, India,
             42. Gnanaprakasam AJ, Mani G, Ege O, Alo-        with research focused on fractional differential equa-
                qaily  A,  Mlaiki  N.  New  fixed  point  re-  tions. Dr. Thabet has published over 60 papers in
                sults in orthogonal B-metric spaces with re-  international journals, served on editorial boards, and
                lated applications. Mathematics. 2023;11(3):677.  refereed over 50 academic journals. He has received
                https://doi.org/10.3390/math11030677          multiple awards for research excellence and is a mem-
             43. Nallaselli G, Gnanaprakasam AJ, Mani G,      ber of international academic societies.
                Mitrovi´c ZD, Aloqaily A, Mlaiki N. Inte-        https://orcid.org/0000-0002-4568-9732
                gral equation via fixed point theorems on a
                new type of convex contraction in b-Metric
                and 2-Metric spaces. Math. 2023;11(2):344.
                https://doi.org/10.3390/math11020344
                                                              Imed Kedim Dr. Imed Kedim is a Tunisian mathe-
                                                              matician and Associate Professor at the College of Sci-
                                                              ences and Humanities, Prince Sattam Bin Abdulaziz
                                                              University, Saudi Arabia. He holds a Ph.D. in Math-
            Amol D. Khandagale Dr.        Amol D. Khanda-     ematics from the University Louis Pasteur in Stras-
            gale is an Associate Professor at the Department of  bourg, France, where he specialized in Schubert vari-
            Mathematics, Dr. Babasaheb Ambedkar Marathwada    eties and toric geometry. His research interests span
            University, Chhatrapati Sambhajinagar (Aurangabad),  Lie groups, representation theory, deformation the-
            Maharashtra, India. He has been awarded a Ph.D.   ory, Fractional Calculus, and fixed point theory. Dr.
            degree in Mathematics from Dr. Babasaheb Ambed-   Kedim has previously held academic positions at the
            kar Marathwada University, Chhatrapati Sambhajina-  Universities of Carthage and Gabes in Tunisia and
            gar (Aurangabad), Maharashtra, India with title ”A  has authored numerous papers in international jour-
            Study on Fractional Integro-Differential Equations”.  nals. He also supervises Ph.D. and master’s students
            His research interests span Fractional Differential and  and actively participates in international conferences.
            Integro-Differential Equations, Integral Transforms,  https://orcid.org/0000-0002-4791-9730



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